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Finding the Fourth Proportional to 192.60, 288.96 and 89.88

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Solution

The fourth proportional to 192.60, 288.96 and 89.88 is: 134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 288.96 = 89.88 : x
  2. Step 2: Convert to fraction form
    192.60/288.96 = 89.88/x
  3. Step 3: Cross multiply
    192.60x = 288.96 × 89.88
  4. Step 4: Simplify right side
    192.60x = 25,971.72
  5. Step 5: Solve for x
    x = 25,971.72/192.60
  6. Step 6: Final answer
    x = 134.85

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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.