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Finding the Fourth Proportional to 24.19, 36.46 and 22.71

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Solution

The fourth proportional to 24.19, 36.46 and 22.71 is: 34.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 36.46 = 22.71 : x
  2. Step 2: Convert to fraction form
    24.19/36.46 = 22.71/x
  3. Step 3: Cross multiply
    24.19x = 36.46 × 22.71
  4. Step 4: Simplify right side
    24.19x = 828.01
  5. Step 5: Solve for x
    x = 828.01/24.19
  6. Step 6: Final answer
    x = 34.23

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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.