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Finding the Fourth Proportional to 82.52, 124.35 and 68.39

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Solution

The fourth proportional to 82.52, 124.35 and 68.39 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.52 : 124.35 = 68.39 : x
  2. Step 2: Convert to fraction form
    82.52/124.35 = 68.39/x
  3. Step 3: Cross multiply
    82.52x = 124.35 × 68.39
  4. Step 4: Simplify right side
    82.52x = 8,504.11
  5. Step 5: Solve for x
    x = 8,504.11/82.52
  6. Step 6: Final answer
    x = 103.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.