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Finding the Fourth Proportional to 24.46, 36.61 and 22.80

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Solution

The fourth proportional to 24.46, 36.61 and 22.80 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.46 : 36.61 = 22.80 : x
  2. Step 2: Convert to fraction form
    24.46/36.61 = 22.80/x
  3. Step 3: Cross multiply
    24.46x = 36.61 × 22.80
  4. Step 4: Simplify right side
    24.46x = 834.71
  5. Step 5: Solve for x
    x = 834.71/24.46
  6. Step 6: Final answer
    x = 34.13

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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.