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Finding the Fourth Proportional to 59.82, 89.72 and 39.48

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Solution

The fourth proportional to 59.82, 89.72 and 39.48 is: 59.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 89.72 = 39.48 : x
  2. Step 2: Convert to fraction form
    59.82/89.72 = 39.48/x
  3. Step 3: Cross multiply
    59.82x = 89.72 × 39.48
  4. Step 4: Simplify right side
    59.82x = 3,542.15
  5. Step 5: Solve for x
    x = 3,542.15/59.82
  6. Step 6: Final answer
    x = 59.21

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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.