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Finding the Fourth Proportional to 10.14, 14.00 and 7.74

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Solution

The fourth proportional to 10.14, 14.00 and 7.74 is: 10.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 14.00 = 7.74 : x
  2. Step 2: Convert to fraction form
    10.14/14.00 = 7.74/x
  3. Step 3: Cross multiply
    10.14x = 14.00 × 7.74
  4. Step 4: Simplify right side
    10.14x = 108.32
  5. Step 5: Solve for x
    x = 108.32/10.14
  6. Step 6: Final answer
    x = 10.68

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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.