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Finding the Fourth Proportional to 79.12, 108.94 and 66.80

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Solution

The fourth proportional to 79.12, 108.94 and 66.80 is: 91.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.12 : 108.94 = 66.80 : x
  2. Step 2: Convert to fraction form
    79.12/108.94 = 66.80/x
  3. Step 3: Cross multiply
    79.12x = 108.94 × 66.80
  4. Step 4: Simplify right side
    79.12x = 7,277.19
  5. Step 5: Solve for x
    x = 7,277.19/79.12
  6. Step 6: Final answer
    x = 91.98

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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.