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Finding the Fourth Proportional to 91.97, 137.97 and 89.42

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Solution

The fourth proportional to 91.97, 137.97 and 89.42 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.97 : 137.97 = 89.42 : x
  2. Step 2: Convert to fraction form
    91.97/137.97 = 89.42/x
  3. Step 3: Cross multiply
    91.97x = 137.97 × 89.42
  4. Step 4: Simplify right side
    91.97x = 12,337.28
  5. Step 5: Solve for x
    x = 12,337.28/91.97
  6. Step 6: Final answer
    x = 134.14

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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.