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Finding the Fourth Proportional to 22.63, 31.23 and 13.42

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Solution

The fourth proportional to 22.63, 31.23 and 13.42 is: 18.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.63 : 31.23 = 13.42 : x
  2. Step 2: Convert to fraction form
    22.63/31.23 = 13.42/x
  3. Step 3: Cross multiply
    22.63x = 31.23 × 13.42
  4. Step 4: Simplify right side
    22.63x = 419.16
  5. Step 5: Solve for x
    x = 419.16/22.63
  6. Step 6: Final answer
    x = 18.52

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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.