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Finding the Fourth Proportional to 89.78, 124.46 and 85.16

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Solution

The fourth proportional to 89.78, 124.46 and 85.16 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.78 : 124.46 = 85.16 : x
  2. Step 2: Convert to fraction form
    89.78/124.46 = 85.16/x
  3. Step 3: Cross multiply
    89.78x = 124.46 × 85.16
  4. Step 4: Simplify right side
    89.78x = 10,597.97
  5. Step 5: Solve for x
    x = 10,597.97/89.78
  6. Step 6: Final answer
    x = 118.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.