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Finding the Fourth Proportional to 89.38, 123.25 and 59.85

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Solution

The fourth proportional to 89.38, 123.25 and 59.85 is: 82.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.38 : 123.25 = 59.85 : x
  2. Step 2: Convert to fraction form
    89.38/123.25 = 59.85/x
  3. Step 3: Cross multiply
    89.38x = 123.25 × 59.85
  4. Step 4: Simplify right side
    89.38x = 7,376.51
  5. Step 5: Solve for x
    x = 7,376.51/89.38
  6. Step 6: Final answer
    x = 82.53

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Why These Related Problems?

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