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Finding the Fourth Proportional to 24.57, 36.83 and 13.16

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Solution

The fourth proportional to 24.57, 36.83 and 13.16 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.57 : 36.83 = 13.16 : x
  2. Step 2: Convert to fraction form
    24.57/36.83 = 13.16/x
  3. Step 3: Cross multiply
    24.57x = 36.83 × 13.16
  4. Step 4: Simplify right side
    24.57x = 484.50
  5. Step 5: Solve for x
    x = 484.50/24.57
  6. Step 6: Final answer
    x = 19.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.