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Finding the Fourth Proportional to 193.09, 289.76 and 101.86

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Solution

The fourth proportional to 193.09, 289.76 and 101.86 is: 152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.09 : 289.76 = 101.86 : x
  2. Step 2: Convert to fraction form
    193.09/289.76 = 101.86/x
  3. Step 3: Cross multiply
    193.09x = 289.76 × 101.86
  4. Step 4: Simplify right side
    193.09x = 29,513.50
  5. Step 5: Solve for x
    x = 29,513.50/193.09
  6. Step 6: Final answer
    x = 152.85

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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.