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Finding the Fourth Proportional to 10.29, 14.14 and 10.16

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Solution

The fourth proportional to 10.29, 14.14 and 10.16 is: 13.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.29 : 14.14 = 10.16 : x
  2. Step 2: Convert to fraction form
    10.29/14.14 = 10.16/x
  3. Step 3: Cross multiply
    10.29x = 14.14 × 10.16
  4. Step 4: Simplify right side
    10.29x = 143.66
  5. Step 5: Solve for x
    x = 143.66/10.29
  6. Step 6: Final answer
    x = 13.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.