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Finding the Fourth Proportional to 24.71, 36.86 and 24.32

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Solution

The fourth proportional to 24.71, 36.86 and 24.32 is: 36.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.71 : 36.86 = 24.32 : x
  2. Step 2: Convert to fraction form
    24.71/36.86 = 24.32/x
  3. Step 3: Cross multiply
    24.71x = 36.86 × 24.32
  4. Step 4: Simplify right side
    24.71x = 896.44
  5. Step 5: Solve for x
    x = 896.44/24.71
  6. Step 6: Final answer
    x = 36.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.