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Finding the Fourth Proportional to 83.39, 114.81 and 71.06

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Solution

The fourth proportional to 83.39, 114.81 and 71.06 is: 97.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.39 : 114.81 = 71.06 : x
  2. Step 2: Convert to fraction form
    83.39/114.81 = 71.06/x
  3. Step 3: Cross multiply
    83.39x = 114.81 × 71.06
  4. Step 4: Simplify right side
    83.39x = 8,158.40
  5. Step 5: Solve for x
    x = 8,158.40/83.39
  6. Step 6: Final answer
    x = 97.83

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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.