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Finding the Fourth Proportional to 32.07, 44.17 and 24.78

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Solution

The fourth proportional to 32.07, 44.17 and 24.78 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.07 : 44.17 = 24.78 : x
  2. Step 2: Convert to fraction form
    32.07/44.17 = 24.78/x
  3. Step 3: Cross multiply
    32.07x = 44.17 × 24.78
  4. Step 4: Simplify right side
    32.07x = 1,094.53
  5. Step 5: Solve for x
    x = 1,094.53/32.07
  6. Step 6: Final answer
    x = 34.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.