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Finding the Fourth Proportional to 83.16, 125.25 and 71.10

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Solution

The fourth proportional to 83.16, 125.25 and 71.10 is: 107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 125.25 = 71.10 : x
  2. Step 2: Convert to fraction form
    83.16/125.25 = 71.10/x
  3. Step 3: Cross multiply
    83.16x = 125.25 × 71.10
  4. Step 4: Simplify right side
    83.16x = 8,905.28
  5. Step 5: Solve for x
    x = 8,905.28/83.16
  6. Step 6: Final answer
    x = 107.09

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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.