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Finding the Fourth Proportional to 24.72, 37.32 and 24.27

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Solution

The fourth proportional to 24.72, 37.32 and 24.27 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.72 : 37.32 = 24.27 : x
  2. Step 2: Convert to fraction form
    24.72/37.32 = 24.27/x
  3. Step 3: Cross multiply
    24.72x = 37.32 × 24.27
  4. Step 4: Simplify right side
    24.72x = 905.76
  5. Step 5: Solve for x
    x = 905.76/24.72
  6. Step 6: Final answer
    x = 36.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.