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Finding the Fourth Proportional to 95.53, 142.53 and 85.27

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Solution

The fourth proportional to 95.53, 142.53 and 85.27 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.53 : 142.53 = 85.27 : x
  2. Step 2: Convert to fraction form
    95.53/142.53 = 85.27/x
  3. Step 3: Cross multiply
    95.53x = 142.53 × 85.27
  4. Step 4: Simplify right side
    95.53x = 12,153.53
  5. Step 5: Solve for x
    x = 12,153.53/95.53
  6. Step 6: Final answer
    x = 127.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.