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Finding the Fourth Proportional to 12.17, 16.76 and 10.47

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Solution

The fourth proportional to 12.17, 16.76 and 10.47 is: 14.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.17 : 16.76 = 10.47 : x
  2. Step 2: Convert to fraction form
    12.17/16.76 = 10.47/x
  3. Step 3: Cross multiply
    12.17x = 16.76 × 10.47
  4. Step 4: Simplify right side
    12.17x = 175.41
  5. Step 5: Solve for x
    x = 175.41/12.17
  6. Step 6: Final answer
    x = 14.41

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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.