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Finding the Fourth Proportional to 22.70, 31.32 and 12.86

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Solution

The fourth proportional to 22.70, 31.32 and 12.86 is: 17.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.70 : 31.32 = 12.86 : x
  2. Step 2: Convert to fraction form
    22.70/31.32 = 12.86/x
  3. Step 3: Cross multiply
    22.70x = 31.32 × 12.86
  4. Step 4: Simplify right side
    22.70x = 402.93
  5. Step 5: Solve for x
    x = 402.93/22.70
  6. Step 6: Final answer
    x = 17.75

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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.