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Finding the Fourth Proportional to 89.55, 134.85 and 78.83

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Solution

The fourth proportional to 89.55, 134.85 and 78.83 is: 118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.55 : 134.85 = 78.83 : x
  2. Step 2: Convert to fraction form
    89.55/134.85 = 78.83/x
  3. Step 3: Cross multiply
    89.55x = 134.85 × 78.83
  4. Step 4: Simplify right side
    89.55x = 10,630.15
  5. Step 5: Solve for x
    x = 10,630.15/89.55
  6. Step 6: Final answer
    x = 118.71

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