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Finding the Fourth Proportional to 22.43, 31.02 and 18.58

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Solution

The fourth proportional to 22.43, 31.02 and 18.58 is: 25.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.43 : 31.02 = 18.58 : x
  2. Step 2: Convert to fraction form
    22.43/31.02 = 18.58/x
  3. Step 3: Cross multiply
    22.43x = 31.02 × 18.58
  4. Step 4: Simplify right side
    22.43x = 576.35
  5. Step 5: Solve for x
    x = 576.35/22.43
  6. Step 6: Final answer
    x = 25.70

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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.