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Finding the Fourth Proportional to 102.48, 141.56 and 77.97

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Solution

The fourth proportional to 102.48, 141.56 and 77.97 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 141.56 = 77.97 : x
  2. Step 2: Convert to fraction form
    102.48/141.56 = 77.97/x
  3. Step 3: Cross multiply
    102.48x = 141.56 × 77.97
  4. Step 4: Simplify right side
    102.48x = 11,037.43
  5. Step 5: Solve for x
    x = 11,037.43/102.48
  6. Step 6: Final answer
    x = 107.70

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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.