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Finding the Fourth Proportional to 24.98, 37.60 and 20.95

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Solution

The fourth proportional to 24.98, 37.60 and 20.95 is: 31.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.98 : 37.60 = 20.95 : x
  2. Step 2: Convert to fraction form
    24.98/37.60 = 20.95/x
  3. Step 3: Cross multiply
    24.98x = 37.60 × 20.95
  4. Step 4: Simplify right side
    24.98x = 787.57
  5. Step 5: Solve for x
    x = 787.57/24.98
  6. Step 6: Final answer
    x = 31.53

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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.