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Finding the Fourth Proportional to 59.69, 82.17 and 49.34

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Solution

The fourth proportional to 59.69, 82.17 and 49.34 is: 67.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.69 : 82.17 = 49.34 : x
  2. Step 2: Convert to fraction form
    59.69/82.17 = 49.34/x
  3. Step 3: Cross multiply
    59.69x = 82.17 × 49.34
  4. Step 4: Simplify right side
    59.69x = 4,053.86
  5. Step 5: Solve for x
    x = 4,053.86/59.69
  6. Step 6: Final answer
    x = 67.92

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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.