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Finding the Fourth Proportional to 94.97, 142.52 and 89.97

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Solution

The fourth proportional to 94.97, 142.52 and 89.97 is: 135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.97 : 142.52 = 89.97 : x
  2. Step 2: Convert to fraction form
    94.97/142.52 = 89.97/x
  3. Step 3: Cross multiply
    94.97x = 142.52 × 89.97
  4. Step 4: Simplify right side
    94.97x = 12,822.07
  5. Step 5: Solve for x
    x = 12,822.07/94.97
  6. Step 6: Final answer
    x = 135.02

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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.