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Finding the Fourth Proportional to 22.58, 31.14 and 20.24

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Solution

The fourth proportional to 22.58, 31.14 and 20.24 is: 27.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.58 : 31.14 = 20.24 : x
  2. Step 2: Convert to fraction form
    22.58/31.14 = 20.24/x
  3. Step 3: Cross multiply
    22.58x = 31.14 × 20.24
  4. Step 4: Simplify right side
    22.58x = 630.27
  5. Step 5: Solve for x
    x = 630.27/22.58
  6. Step 6: Final answer
    x = 27.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.