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Finding the Fourth Proportional to 96.45, 144.55 and 76.08

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Solution

The fourth proportional to 96.45, 144.55 and 76.08 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 144.55 = 76.08 : x
  2. Step 2: Convert to fraction form
    96.45/144.55 = 76.08/x
  3. Step 3: Cross multiply
    96.45x = 144.55 × 76.08
  4. Step 4: Simplify right side
    96.45x = 10,997.36
  5. Step 5: Solve for x
    x = 10,997.36/96.45
  6. Step 6: Final answer
    x = 114.02

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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.