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Finding the Fourth Proportional to 12.76, 17.63 and 9.15

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Solution

The fourth proportional to 12.76, 17.63 and 9.15 is: 12.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.76 : 17.63 = 9.15 : x
  2. Step 2: Convert to fraction form
    12.76/17.63 = 9.15/x
  3. Step 3: Cross multiply
    12.76x = 17.63 × 9.15
  4. Step 4: Simplify right side
    12.76x = 161.31
  5. Step 5: Solve for x
    x = 161.31/12.76
  6. Step 6: Final answer
    x = 12.64

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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.