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Finding the Fourth Proportional to 59.24, 81.78 and 41.72

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Solution

The fourth proportional to 59.24, 81.78 and 41.72 is: 57.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 81.78 = 41.72 : x
  2. Step 2: Convert to fraction form
    59.24/81.78 = 41.72/x
  3. Step 3: Cross multiply
    59.24x = 81.78 × 41.72
  4. Step 4: Simplify right side
    59.24x = 3,411.86
  5. Step 5: Solve for x
    x = 3,411.86/59.24
  6. Step 6: Final answer
    x = 57.59

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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.