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Finding the Fourth Proportional to 79.71, 119.38 and 78.00

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Solution

The fourth proportional to 79.71, 119.38 and 78.00 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.71 : 119.38 = 78.00 : x
  2. Step 2: Convert to fraction form
    79.71/119.38 = 78.00/x
  3. Step 3: Cross multiply
    79.71x = 119.38 × 78.00
  4. Step 4: Simplify right side
    79.71x = 9,311.14
  5. Step 5: Solve for x
    x = 9,311.14/79.71
  6. Step 6: Final answer
    x = 116.82

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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.