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Finding the Fourth Proportional to 79.92, 120.12 and 64.08

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Solution

The fourth proportional to 79.92, 120.12 and 64.08 is: 96.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 120.12 = 64.08 : x
  2. Step 2: Convert to fraction form
    79.92/120.12 = 64.08/x
  3. Step 3: Cross multiply
    79.92x = 120.12 × 64.08
  4. Step 4: Simplify right side
    79.92x = 7,697.29
  5. Step 5: Solve for x
    x = 7,697.29/79.92
  6. Step 6: Final answer
    x = 96.31

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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.