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Finding the Fourth Proportional to 82.04, 112.49 and 74.24

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Solution

The fourth proportional to 82.04, 112.49 and 74.24 is: 101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.04 : 112.49 = 74.24 : x
  2. Step 2: Convert to fraction form
    82.04/112.49 = 74.24/x
  3. Step 3: Cross multiply
    82.04x = 112.49 × 74.24
  4. Step 4: Simplify right side
    82.04x = 8,351.26
  5. Step 5: Solve for x
    x = 8,351.26/82.04
  6. Step 6: Final answer
    x = 101.79

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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.