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Finding the Fourth Proportional to 23.13, 31.83 and 22.46

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Solution

The fourth proportional to 23.13, 31.83 and 22.46 is: 30.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.13 : 31.83 = 22.46 : x
  2. Step 2: Convert to fraction form
    23.13/31.83 = 22.46/x
  3. Step 3: Cross multiply
    23.13x = 31.83 × 22.46
  4. Step 4: Simplify right side
    23.13x = 714.74
  5. Step 5: Solve for x
    x = 714.74/23.13
  6. Step 6: Final answer
    x = 30.90

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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.