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Finding the Fourth Proportional to 59.73, 82.30 and 49.86

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Solution

The fourth proportional to 59.73, 82.30 and 49.86 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.73 : 82.30 = 49.86 : x
  2. Step 2: Convert to fraction form
    59.73/82.30 = 49.86/x
  3. Step 3: Cross multiply
    59.73x = 82.30 × 49.86
  4. Step 4: Simplify right side
    59.73x = 4,103.23
  5. Step 5: Solve for x
    x = 4,103.23/59.73
  6. Step 6: Final answer
    x = 68.70

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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.