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Finding the Fourth Proportional to 22.53, 31.09 and 12.83

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Solution

The fourth proportional to 22.53, 31.09 and 12.83 is: 17.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.53 : 31.09 = 12.83 : x
  2. Step 2: Convert to fraction form
    22.53/31.09 = 12.83/x
  3. Step 3: Cross multiply
    22.53x = 31.09 × 12.83
  4. Step 4: Simplify right side
    22.53x = 398.89
  5. Step 5: Solve for x
    x = 398.89/22.53
  6. Step 6: Final answer
    x = 17.70

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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.