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Finding the Fourth Proportional to 83.01, 124.51 and 22.14

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Solution

The fourth proportional to 83.01, 124.51 and 22.14 is: 33.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.01 : 124.51 = 22.14 : x
  2. Step 2: Convert to fraction form
    83.01/124.51 = 22.14/x
  3. Step 3: Cross multiply
    83.01x = 124.51 × 22.14
  4. Step 4: Simplify right side
    83.01x = 2,756.11
  5. Step 5: Solve for x
    x = 2,756.11/83.01
  6. Step 6: Final answer
    x = 33.20

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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.