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Finding the Fourth Proportional to 59.50, 82.14 and 42.28

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Solution

The fourth proportional to 59.50, 82.14 and 42.28 is: 58.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.50 : 82.14 = 42.28 : x
  2. Step 2: Convert to fraction form
    59.50/82.14 = 42.28/x
  3. Step 3: Cross multiply
    59.50x = 82.14 × 42.28
  4. Step 4: Simplify right side
    59.50x = 3,472.88
  5. Step 5: Solve for x
    x = 3,472.88/59.50
  6. Step 6: Final answer
    x = 58.37

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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.