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Finding the Fourth Proportional to 79.68, 109.32 and 77.64

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Solution

The fourth proportional to 79.68, 109.32 and 77.64 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.68 : 109.32 = 77.64 : x
  2. Step 2: Convert to fraction form
    79.68/109.32 = 77.64/x
  3. Step 3: Cross multiply
    79.68x = 109.32 × 77.64
  4. Step 4: Simplify right side
    79.68x = 8,487.60
  5. Step 5: Solve for x
    x = 8,487.60/79.68
  6. Step 6: Final answer
    x = 106.52

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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.