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Finding the Fourth Proportional to 10.14, 14.02 and 7.71

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Solution

The fourth proportional to 10.14, 14.02 and 7.71 is: 10.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 14.02 = 7.71 : x
  2. Step 2: Convert to fraction form
    10.14/14.02 = 7.71/x
  3. Step 3: Cross multiply
    10.14x = 14.02 × 7.71
  4. Step 4: Simplify right side
    10.14x = 108.07
  5. Step 5: Solve for x
    x = 108.07/10.14
  6. Step 6: Final answer
    x = 10.66

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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.