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Finding the Fourth Proportional to 10.25, 14.14 and 6.16

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Solution

The fourth proportional to 10.25, 14.14 and 6.16 is: 8.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.25 : 14.14 = 6.16 : x
  2. Step 2: Convert to fraction form
    10.25/14.14 = 6.16/x
  3. Step 3: Cross multiply
    10.25x = 14.14 × 6.16
  4. Step 4: Simplify right side
    10.25x = 87.10
  5. Step 5: Solve for x
    x = 87.10/10.25
  6. Step 6: Final answer
    x = 8.50

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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.