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Finding the Fourth Proportional to 102.49, 141.45 and 55.87

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Solution

The fourth proportional to 102.49, 141.45 and 55.87 is: 77.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 141.45 = 55.87 : x
  2. Step 2: Convert to fraction form
    102.49/141.45 = 55.87/x
  3. Step 3: Cross multiply
    102.49x = 141.45 × 55.87
  4. Step 4: Simplify right side
    102.49x = 7,902.25
  5. Step 5: Solve for x
    x = 7,902.25/102.49
  6. Step 6: Final answer
    x = 77.10

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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.