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Finding the Fourth Proportional to 24.68, 37.02 and 9.48

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Solution

The fourth proportional to 24.68, 37.02 and 9.48 is: 14.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 37.02 = 9.48 : x
  2. Step 2: Convert to fraction form
    24.68/37.02 = 9.48/x
  3. Step 3: Cross multiply
    24.68x = 37.02 × 9.48
  4. Step 4: Simplify right side
    24.68x = 350.86
  5. Step 5: Solve for x
    x = 350.86/24.68
  6. Step 6: Final answer
    x = 14.22

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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.