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Finding the Fourth Proportional to 59.52, 82.16 and 42.28

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Solution

The fourth proportional to 59.52, 82.16 and 42.28 is: 58.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 82.16 = 42.28 : x
  2. Step 2: Convert to fraction form
    59.52/82.16 = 42.28/x
  3. Step 3: Cross multiply
    59.52x = 82.16 × 42.28
  4. Step 4: Simplify right side
    59.52x = 3,473.72
  5. Step 5: Solve for x
    x = 3,473.72/59.52
  6. Step 6: Final answer
    x = 58.36

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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.