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Finding the Fourth Proportional to 96.96, 145.08 and 79.68

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Solution

The fourth proportional to 96.96, 145.08 and 79.68 is: 119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.96 : 145.08 = 79.68 : x
  2. Step 2: Convert to fraction form
    96.96/145.08 = 79.68/x
  3. Step 3: Cross multiply
    96.96x = 145.08 × 79.68
  4. Step 4: Simplify right side
    96.96x = 11,559.97
  5. Step 5: Solve for x
    x = 11,559.97/96.96
  6. Step 6: Final answer
    x = 119.22

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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.