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Finding the Fourth Proportional to 24.72, 36.80 and 24.46

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Solution

The fourth proportional to 24.72, 36.80 and 24.46 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.72 : 36.80 = 24.46 : x
  2. Step 2: Convert to fraction form
    24.72/36.80 = 24.46/x
  3. Step 3: Cross multiply
    24.72x = 36.80 × 24.46
  4. Step 4: Simplify right side
    24.72x = 900.13
  5. Step 5: Solve for x
    x = 900.13/24.72
  6. Step 6: Final answer
    x = 36.41

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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.