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Finding the Fourth Proportional to 79.28, 109.27 and 66.14

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Solution

The fourth proportional to 79.28, 109.27 and 66.14 is: 91.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.28 : 109.27 = 66.14 : x
  2. Step 2: Convert to fraction form
    79.28/109.27 = 66.14/x
  3. Step 3: Cross multiply
    79.28x = 109.27 × 66.14
  4. Step 4: Simplify right side
    79.28x = 7,227.12
  5. Step 5: Solve for x
    x = 7,227.12/79.28
  6. Step 6: Final answer
    x = 91.16

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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.