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Finding the Fourth Proportional to 38.74, 53.54 and 31.88

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Solution

The fourth proportional to 38.74, 53.54 and 31.88 is: 44.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.74 : 53.54 = 31.88 : x
  2. Step 2: Convert to fraction form
    38.74/53.54 = 31.88/x
  3. Step 3: Cross multiply
    38.74x = 53.54 × 31.88
  4. Step 4: Simplify right side
    38.74x = 1,706.86
  5. Step 5: Solve for x
    x = 1,706.86/38.74
  6. Step 6: Final answer
    x = 44.06

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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.