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Finding the Fourth Proportional to 22.57, 31.15 and 13.83

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Solution

The fourth proportional to 22.57, 31.15 and 13.83 is: 19.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 31.15 = 13.83 : x
  2. Step 2: Convert to fraction form
    22.57/31.15 = 13.83/x
  3. Step 3: Cross multiply
    22.57x = 31.15 × 13.83
  4. Step 4: Simplify right side
    22.57x = 430.58
  5. Step 5: Solve for x
    x = 430.58/22.57
  6. Step 6: Final answer
    x = 19.08

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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.