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Finding the Fourth Proportional to 38.19, 52.70 and 31.97

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Solution

The fourth proportional to 38.19, 52.70 and 31.97 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.19 : 52.70 = 31.97 : x
  2. Step 2: Convert to fraction form
    38.19/52.70 = 31.97/x
  3. Step 3: Cross multiply
    38.19x = 52.70 × 31.97
  4. Step 4: Simplify right side
    38.19x = 1,684.79
  5. Step 5: Solve for x
    x = 1,684.79/38.19
  6. Step 6: Final answer
    x = 44.11

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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.