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Finding the Fourth Proportional to 31.97, 48.14 and 25.24

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Solution

The fourth proportional to 31.97, 48.14 and 25.24 is: 38.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.97 : 48.14 = 25.24 : x
  2. Step 2: Convert to fraction form
    31.97/48.14 = 25.24/x
  3. Step 3: Cross multiply
    31.97x = 48.14 × 25.24
  4. Step 4: Simplify right side
    31.97x = 1,215.05
  5. Step 5: Solve for x
    x = 1,215.05/31.97
  6. Step 6: Final answer
    x = 38.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.