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Finding the Fourth Proportional to 10.06, 13.88 and 7.76

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Solution

The fourth proportional to 10.06, 13.88 and 7.76 is: 10.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.06 : 13.88 = 7.76 : x
  2. Step 2: Convert to fraction form
    10.06/13.88 = 7.76/x
  3. Step 3: Cross multiply
    10.06x = 13.88 × 7.76
  4. Step 4: Simplify right side
    10.06x = 107.71
  5. Step 5: Solve for x
    x = 107.71/10.06
  6. Step 6: Final answer
    x = 10.71

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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.