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Finding the Fourth Proportional to 10.44, 14.42 and 7.71

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Solution

The fourth proportional to 10.44, 14.42 and 7.71 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.44 : 14.42 = 7.71 : x
  2. Step 2: Convert to fraction form
    10.44/14.42 = 7.71/x
  3. Step 3: Cross multiply
    10.44x = 14.42 × 7.71
  4. Step 4: Simplify right side
    10.44x = 111.13
  5. Step 5: Solve for x
    x = 111.13/10.44
  6. Step 6: Final answer
    x = 10.64

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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.