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Finding the Fourth Proportional to 95.53, 142.46 and 89.99

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Solution

The fourth proportional to 95.53, 142.46 and 89.99 is: 134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.53 : 142.46 = 89.99 : x
  2. Step 2: Convert to fraction form
    95.53/142.46 = 89.99/x
  3. Step 3: Cross multiply
    95.53x = 142.46 × 89.99
  4. Step 4: Simplify right side
    95.53x = 12,819.28
  5. Step 5: Solve for x
    x = 12,819.28/95.53
  6. Step 6: Final answer
    x = 134.19

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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.