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Finding the Fourth Proportional to 85.54, 118 and 57.90

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Solution

The fourth proportional to 85.54, 118 and 57.90 is: 79.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.54 : 118 = 57.90 : x
  2. Step 2: Convert to fraction form
    85.54/118 = 57.90/x
  3. Step 3: Cross multiply
    85.54x = 118 × 57.90
  4. Step 4: Simplify right side
    85.54x = 6,832.20
  5. Step 5: Solve for x
    x = 6,832.20/85.54
  6. Step 6: Final answer
    x = 79.87

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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.