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Finding the Fourth Proportional to 59.07, 88.64 and 24.85

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Solution

The fourth proportional to 59.07, 88.64 and 24.85 is: 37.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.07 : 88.64 = 24.85 : x
  2. Step 2: Convert to fraction form
    59.07/88.64 = 24.85/x
  3. Step 3: Cross multiply
    59.07x = 88.64 × 24.85
  4. Step 4: Simplify right side
    59.07x = 2,202.70
  5. Step 5: Solve for x
    x = 2,202.70/59.07
  6. Step 6: Final answer
    x = 37.29

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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.