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Finding the Fourth Proportional to 59.72, 82.38 and 42.23

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Solution

The fourth proportional to 59.72, 82.38 and 42.23 is: 58.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.72 : 82.38 = 42.23 : x
  2. Step 2: Convert to fraction form
    59.72/82.38 = 42.23/x
  3. Step 3: Cross multiply
    59.72x = 82.38 × 42.23
  4. Step 4: Simplify right side
    59.72x = 3,479.27
  5. Step 5: Solve for x
    x = 3,479.27/59.72
  6. Step 6: Final answer
    x = 58.26

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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.