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Finding the Fourth Proportional to 59.38, 89.13 and 36.56

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Solution

The fourth proportional to 59.38, 89.13 and 36.56 is: 54.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.38 : 89.13 = 36.56 : x
  2. Step 2: Convert to fraction form
    59.38/89.13 = 36.56/x
  3. Step 3: Cross multiply
    59.38x = 89.13 × 36.56
  4. Step 4: Simplify right side
    59.38x = 3,258.95
  5. Step 5: Solve for x
    x = 3,258.95/59.38
  6. Step 6: Final answer
    x = 54.89

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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.