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Finding the Fourth Proportional to 59.72, 89.50 and 29.24

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Solution

The fourth proportional to 59.72, 89.50 and 29.24 is: 43.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.72 : 89.50 = 29.24 : x
  2. Step 2: Convert to fraction form
    59.72/89.50 = 29.24/x
  3. Step 3: Cross multiply
    59.72x = 89.50 × 29.24
  4. Step 4: Simplify right side
    59.72x = 2,616.98
  5. Step 5: Solve for x
    x = 2,616.98/59.72
  6. Step 6: Final answer
    x = 43.82

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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.