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Finding the Fourth Proportional to 24.64, 34.01 and 13.58

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Solution

The fourth proportional to 24.64, 34.01 and 13.58 is: 18.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.64 : 34.01 = 13.58 : x
  2. Step 2: Convert to fraction form
    24.64/34.01 = 13.58/x
  3. Step 3: Cross multiply
    24.64x = 34.01 × 13.58
  4. Step 4: Simplify right side
    24.64x = 461.83
  5. Step 5: Solve for x
    x = 461.83/24.64
  6. Step 6: Final answer
    x = 18.74

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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.