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Finding the Fourth Proportional to 79.65, 118.85 and 77.81

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Solution

The fourth proportional to 79.65, 118.85 and 77.81 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.65 : 118.85 = 77.81 : x
  2. Step 2: Convert to fraction form
    79.65/118.85 = 77.81/x
  3. Step 3: Cross multiply
    79.65x = 118.85 × 77.81
  4. Step 4: Simplify right side
    79.65x = 9,246.74
  5. Step 5: Solve for x
    x = 9,246.74/79.65
  6. Step 6: Final answer
    x = 116.09

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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.