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Finding the Fourth Proportional to 96.59, 145.22 and 76.55

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Solution

The fourth proportional to 96.59, 145.22 and 76.55 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.59 : 145.22 = 76.55 : x
  2. Step 2: Convert to fraction form
    96.59/145.22 = 76.55/x
  3. Step 3: Cross multiply
    96.59x = 145.22 × 76.55
  4. Step 4: Simplify right side
    96.59x = 11,115.48
  5. Step 5: Solve for x
    x = 11,115.48/96.59
  6. Step 6: Final answer
    x = 115.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.