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Finding the Fourth Proportional to 24.68, 36.95 and 14.49

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Solution

The fourth proportional to 24.68, 36.95 and 14.49 is: 21.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 36.95 = 14.49 : x
  2. Step 2: Convert to fraction form
    24.68/36.95 = 14.49/x
  3. Step 3: Cross multiply
    24.68x = 36.95 × 14.49
  4. Step 4: Simplify right side
    24.68x = 535.33
  5. Step 5: Solve for x
    x = 535.33/24.68
  6. Step 6: Final answer
    x = 21.70

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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.