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Finding the Fourth Proportional to 95.10, 142.71 and 53.97

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Solution

The fourth proportional to 95.10, 142.71 and 53.97 is: 80.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.10 : 142.71 = 53.97 : x
  2. Step 2: Convert to fraction form
    95.10/142.71 = 53.97/x
  3. Step 3: Cross multiply
    95.10x = 142.71 × 53.97
  4. Step 4: Simplify right side
    95.10x = 7,702.06
  5. Step 5: Solve for x
    x = 7,702.06/95.10
  6. Step 6: Final answer
    x = 80.99

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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.