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Finding the Fourth Proportional to 38.14, 52.51 and 31.98

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Solution

The fourth proportional to 38.14, 52.51 and 31.98 is: 44.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 52.51 = 31.98 : x
  2. Step 2: Convert to fraction form
    38.14/52.51 = 31.98/x
  3. Step 3: Cross multiply
    38.14x = 52.51 × 31.98
  4. Step 4: Simplify right side
    38.14x = 1,679.39
  5. Step 5: Solve for x
    x = 1,679.39/38.14
  6. Step 6: Final answer
    x = 44.04

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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.