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Finding the Fourth Proportional to 23.18, 31.99 and 12.82

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Solution

The fourth proportional to 23.18, 31.99 and 12.82 is: 17.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.18 : 31.99 = 12.82 : x
  2. Step 2: Convert to fraction form
    23.18/31.99 = 12.82/x
  3. Step 3: Cross multiply
    23.18x = 31.99 × 12.82
  4. Step 4: Simplify right side
    23.18x = 410.26
  5. Step 5: Solve for x
    x = 410.26/23.18
  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.