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Finding the Fourth Proportional to 89.57, 123.49 and 65.92

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Solution

The fourth proportional to 89.57, 123.49 and 65.92 is: 90.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 123.49 = 65.92 : x
  2. Step 2: Convert to fraction form
    89.57/123.49 = 65.92/x
  3. Step 3: Cross multiply
    89.57x = 123.49 × 65.92
  4. Step 4: Simplify right side
    89.57x = 8,140.46
  5. Step 5: Solve for x
    x = 8,140.46/89.57
  6. Step 6: Final answer
    x = 90.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.