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Finding the Fourth Proportional to 59.80, 89.62 and 39.52

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Solution

The fourth proportional to 59.80, 89.62 and 39.52 is: 59.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.80 : 89.62 = 39.52 : x
  2. Step 2: Convert to fraction form
    59.80/89.62 = 39.52/x
  3. Step 3: Cross multiply
    59.80x = 89.62 × 39.52
  4. Step 4: Simplify right side
    59.80x = 3,541.78
  5. Step 5: Solve for x
    x = 3,541.78/59.80
  6. Step 6: Final answer
    x = 59.23

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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.