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Finding the Fourth Proportional to 59.61, 89.43 and 25.38

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Solution

The fourth proportional to 59.61, 89.43 and 25.38 is: 38.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.61 : 89.43 = 25.38 : x
  2. Step 2: Convert to fraction form
    59.61/89.43 = 25.38/x
  3. Step 3: Cross multiply
    59.61x = 89.43 × 25.38
  4. Step 4: Simplify right side
    59.61x = 2,269.73
  5. Step 5: Solve for x
    x = 2,269.73/59.61
  6. Step 6: Final answer
    x = 38.08

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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.