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Finding the Fourth Proportional to 96.14, 144.08 and 75.77

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Solution

The fourth proportional to 96.14, 144.08 and 75.77 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 144.08 = 75.77 : x
  2. Step 2: Convert to fraction form
    96.14/144.08 = 75.77/x
  3. Step 3: Cross multiply
    96.14x = 144.08 × 75.77
  4. Step 4: Simplify right side
    96.14x = 10,916.41
  5. Step 5: Solve for x
    x = 10,916.41/96.14
  6. Step 6: Final answer
    x = 113.55

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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.