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Finding the Fourth Proportional to 79.81, 119.60 and 52.66

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Solution

The fourth proportional to 79.81, 119.60 and 52.66 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.81 : 119.60 = 52.66 : x
  2. Step 2: Convert to fraction form
    79.81/119.60 = 52.66/x
  3. Step 3: Cross multiply
    79.81x = 119.60 × 52.66
  4. Step 4: Simplify right side
    79.81x = 6,297.87
  5. Step 5: Solve for x
    x = 6,297.87/79.81
  6. Step 6: Final answer
    x = 78.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.