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Finding the Fourth Proportional to 79.60, 118.70 and 66.84

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Solution

The fourth proportional to 79.60, 118.70 and 66.84 is: 99.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.60 : 118.70 = 66.84 : x
  2. Step 2: Convert to fraction form
    79.60/118.70 = 66.84/x
  3. Step 3: Cross multiply
    79.60x = 118.70 × 66.84
  4. Step 4: Simplify right side
    79.60x = 7,934.05
  5. Step 5: Solve for x
    x = 7,934.05/79.60
  6. Step 6: Final answer
    x = 99.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.