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Finding the Fourth Proportional to 12.42, 17.15 and 9.71

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Solution

The fourth proportional to 12.42, 17.15 and 9.71 is: 13.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.42 : 17.15 = 9.71 : x
  2. Step 2: Convert to fraction form
    12.42/17.15 = 9.71/x
  3. Step 3: Cross multiply
    12.42x = 17.15 × 9.71
  4. Step 4: Simplify right side
    12.42x = 166.39
  5. Step 5: Solve for x
    x = 166.39/12.42
  6. Step 6: Final answer
    x = 13.40

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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.