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Finding the Fourth Proportional to 82.14, 112.63 and 73.92

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Solution

The fourth proportional to 82.14, 112.63 and 73.92 is: 101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 112.63 = 73.92 : x
  2. Step 2: Convert to fraction form
    82.14/112.63 = 73.92/x
  3. Step 3: Cross multiply
    82.14x = 112.63 × 73.92
  4. Step 4: Simplify right side
    82.14x = 8,325.61
  5. Step 5: Solve for x
    x = 8,325.61/82.14
  6. Step 6: Final answer
    x = 101.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.