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Finding the Fourth Proportional to 34.42, 47.48 and 27.13

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Solution

The fourth proportional to 34.42, 47.48 and 27.13 is: 37.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.42 : 47.48 = 27.13 : x
  2. Step 2: Convert to fraction form
    34.42/47.48 = 27.13/x
  3. Step 3: Cross multiply
    34.42x = 47.48 × 27.13
  4. Step 4: Simplify right side
    34.42x = 1,287.95
  5. Step 5: Solve for x
    x = 1,287.95/34.42
  6. Step 6: Final answer
    x = 37.42

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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.