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Finding the Fourth Proportional to 79.12, 109.36 and 66.40

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Solution

The fourth proportional to 79.12, 109.36 and 66.40 is: 91.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.12 : 109.36 = 66.40 : x
  2. Step 2: Convert to fraction form
    79.12/109.36 = 66.40/x
  3. Step 3: Cross multiply
    79.12x = 109.36 × 66.40
  4. Step 4: Simplify right side
    79.12x = 7,261.50
  5. Step 5: Solve for x
    x = 7,261.50/79.12
  6. Step 6: Final answer
    x = 91.78

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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.