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Finding the Fourth Proportional to 38.75, 53.54 and 31.04

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Solution

The fourth proportional to 38.75, 53.54 and 31.04 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.75 : 53.54 = 31.04 : x
  2. Step 2: Convert to fraction form
    38.75/53.54 = 31.04/x
  3. Step 3: Cross multiply
    38.75x = 53.54 × 31.04
  4. Step 4: Simplify right side
    38.75x = 1,661.95
  5. Step 5: Solve for x
    x = 1,661.95/38.75
  6. Step 6: Final answer
    x = 42.89

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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.