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Finding the Fourth Proportional to 192.96, 289.53 and 101.66

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Solution

The fourth proportional to 192.96, 289.53 and 101.66 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 289.53 = 101.66 : x
  2. Step 2: Convert to fraction form
    192.96/289.53 = 101.66/x
  3. Step 3: Cross multiply
    192.96x = 289.53 × 101.66
  4. Step 4: Simplify right side
    192.96x = 29,432.17
  5. Step 5: Solve for x
    x = 29,432.17/192.96
  6. Step 6: Final answer
    x = 152.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.