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Finding the Fourth Proportional to 85.93, 118.61 and 54.85

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Solution

The fourth proportional to 85.93, 118.61 and 54.85 is: 75.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.93 : 118.61 = 54.85 : x
  2. Step 2: Convert to fraction form
    85.93/118.61 = 54.85/x
  3. Step 3: Cross multiply
    85.93x = 118.61 × 54.85
  4. Step 4: Simplify right side
    85.93x = 6,505.39
  5. Step 5: Solve for x
    x = 6,505.39/85.93
  6. Step 6: Final answer
    x = 75.70

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Why These Related Problems?

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