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Finding the Fourth Proportional to 10.18, 14.06 and 7.76

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Solution

The fourth proportional to 10.18, 14.06 and 7.76 is: 10.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.18 : 14.06 = 7.76 : x
  2. Step 2: Convert to fraction form
    10.18/14.06 = 7.76/x
  3. Step 3: Cross multiply
    10.18x = 14.06 × 7.76
  4. Step 4: Simplify right side
    10.18x = 109.11
  5. Step 5: Solve for x
    x = 109.11/10.18
  6. Step 6: Final answer
    x = 10.72

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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.