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Finding the Fourth Proportional to 96.45, 145.33 and 79.70

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Solution

The fourth proportional to 96.45, 145.33 and 79.70 is: 120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 145.33 = 79.70 : x
  2. Step 2: Convert to fraction form
    96.45/145.33 = 79.70/x
  3. Step 3: Cross multiply
    96.45x = 145.33 × 79.70
  4. Step 4: Simplify right side
    96.45x = 11,581.88
  5. Step 5: Solve for x
    x = 11,581.88/96.45
  6. Step 6: Final answer
    x = 120.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.