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Finding the Fourth Proportional to 102.50, 141.47 and 65.13

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Solution

The fourth proportional to 102.50, 141.47 and 65.13 is: 89.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 141.47 = 65.13 : x
  2. Step 2: Convert to fraction form
    102.50/141.47 = 65.13/x
  3. Step 3: Cross multiply
    102.50x = 141.47 × 65.13
  4. Step 4: Simplify right side
    102.50x = 9,213.86
  5. Step 5: Solve for x
    x = 9,213.86/102.50
  6. Step 6: Final answer
    x = 89.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.