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Finding the Fourth Proportional to 24.97, 37.51 and 15.96

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Solution

The fourth proportional to 24.97, 37.51 and 15.96 is: 23.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.97 : 37.51 = 15.96 : x
  2. Step 2: Convert to fraction form
    24.97/37.51 = 15.96/x
  3. Step 3: Cross multiply
    24.97x = 37.51 × 15.96
  4. Step 4: Simplify right side
    24.97x = 598.66
  5. Step 5: Solve for x
    x = 598.66/24.97
  6. Step 6: Final answer
    x = 23.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.