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Finding the Fourth Proportional to 89, 122.85 and 59.55

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Solution

The fourth proportional to 89, 122.85 and 59.55 is: 82.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89 : 122.85 = 59.55 : x
  2. Step 2: Convert to fraction form
    89/122.85 = 59.55/x
  3. Step 3: Cross multiply
    89x = 122.85 × 59.55
  4. Step 4: Simplify right side
    89x = 7,315.42
  5. Step 5: Solve for x
    x = 7,315.42/89
  6. Step 6: Final answer
    x = 82.20

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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.