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Finding the Fourth Proportional to 11.46, 15.78 and 10.66

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Solution

The fourth proportional to 11.46, 15.78 and 10.66 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.46 : 15.78 = 10.66 : x
  2. Step 2: Convert to fraction form
    11.46/15.78 = 10.66/x
  3. Step 3: Cross multiply
    11.46x = 15.78 × 10.66
  4. Step 4: Simplify right side
    11.46x = 168.21
  5. Step 5: Solve for x
    x = 168.21/11.46
  6. Step 6: Final answer
    x = 14.68

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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.