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Finding the Fourth Proportional to 83.14, 124.68 and 35.06

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Solution

The fourth proportional to 83.14, 124.68 and 35.06 is: 52.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 124.68 = 35.06 : x
  2. Step 2: Convert to fraction form
    83.14/124.68 = 35.06/x
  3. Step 3: Cross multiply
    83.14x = 124.68 × 35.06
  4. Step 4: Simplify right side
    83.14x = 4,371.28
  5. Step 5: Solve for x
    x = 4,371.28/83.14
  6. Step 6: Final answer
    x = 52.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.