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Finding the Fourth Proportional to 22.48, 31.02 and 13.86

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Solution

The fourth proportional to 22.48, 31.02 and 13.86 is: 19.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.48 : 31.02 = 13.86 : x
  2. Step 2: Convert to fraction form
    22.48/31.02 = 13.86/x
  3. Step 3: Cross multiply
    22.48x = 31.02 × 13.86
  4. Step 4: Simplify right side
    22.48x = 429.94
  5. Step 5: Solve for x
    x = 429.94/22.48
  6. Step 6: Final answer
    x = 19.13

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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.