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Finding the Fourth Proportional to 24.97, 37.66 and 24.70

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Solution

The fourth proportional to 24.97, 37.66 and 24.70 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.97 : 37.66 = 24.70 : x
  2. Step 2: Convert to fraction form
    24.97/37.66 = 24.70/x
  3. Step 3: Cross multiply
    24.97x = 37.66 × 24.70
  4. Step 4: Simplify right side
    24.97x = 930.20
  5. Step 5: Solve for x
    x = 930.20/24.97
  6. Step 6: Final answer
    x = 37.25

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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.