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Finding the Fourth Proportional to 79.52, 109.06 and 77.72

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Solution

The fourth proportional to 79.52, 109.06 and 77.72 is: 106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.52 : 109.06 = 77.72 : x
  2. Step 2: Convert to fraction form
    79.52/109.06 = 77.72/x
  3. Step 3: Cross multiply
    79.52x = 109.06 × 77.72
  4. Step 4: Simplify right side
    79.52x = 8,476.14
  5. Step 5: Solve for x
    x = 8,476.14/79.52
  6. Step 6: Final answer
    x = 106.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.