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Finding the Fourth Proportional to 59.66, 82.32 and 42.20

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Solution

The fourth proportional to 59.66, 82.32 and 42.20 is: 58.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.66 : 82.32 = 42.20 : x
  2. Step 2: Convert to fraction form
    59.66/82.32 = 42.20/x
  3. Step 3: Cross multiply
    59.66x = 82.32 × 42.20
  4. Step 4: Simplify right side
    59.66x = 3,473.90
  5. Step 5: Solve for x
    x = 3,473.90/59.66
  6. Step 6: Final answer
    x = 58.23

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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.