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Finding the Fourth Proportional to 60.68, 83.68 and 52.42

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Solution

The fourth proportional to 60.68, 83.68 and 52.42 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.68 : 83.68 = 52.42 : x
  2. Step 2: Convert to fraction form
    60.68/83.68 = 52.42/x
  3. Step 3: Cross multiply
    60.68x = 83.68 × 52.42
  4. Step 4: Simplify right side
    60.68x = 4,385.83
  5. Step 5: Solve for x
    x = 4,385.83/60.68
  6. Step 6: Final answer
    x = 72.28

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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.