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Finding the Fourth Proportional to 95.46, 142.23 and 89.25

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Solution

The fourth proportional to 95.46, 142.23 and 89.25 is: 132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 142.23 = 89.25 : x
  2. Step 2: Convert to fraction form
    95.46/142.23 = 89.25/x
  3. Step 3: Cross multiply
    95.46x = 142.23 × 89.25
  4. Step 4: Simplify right side
    95.46x = 12,694.03
  5. Step 5: Solve for x
    x = 12,694.03/95.46
  6. Step 6: Final answer
    x = 132.98

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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.