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Finding the Fourth Proportional to 96.55, 133.21 and 55.10

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Solution

The fourth proportional to 96.55, 133.21 and 55.10 is: 76.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.55 : 133.21 = 55.10 : x
  2. Step 2: Convert to fraction form
    96.55/133.21 = 55.10/x
  3. Step 3: Cross multiply
    96.55x = 133.21 × 55.10
  4. Step 4: Simplify right side
    96.55x = 7,339.59
  5. Step 5: Solve for x
    x = 7,339.59/96.55
  6. Step 6: Final answer
    x = 76.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.