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Finding the Fourth Proportional to 38.17, 52.66 and 22.62

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Solution

The fourth proportional to 38.17, 52.66 and 22.62 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.17 : 52.66 = 22.62 : x
  2. Step 2: Convert to fraction form
    38.17/52.66 = 22.62/x
  3. Step 3: Cross multiply
    38.17x = 52.66 × 22.62
  4. Step 4: Simplify right side
    38.17x = 1,191.17
  5. Step 5: Solve for x
    x = 1,191.17/38.17
  6. Step 6: Final answer
    x = 31.21

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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.