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Finding the Fourth Proportional to 118.66, 163.68 and 85.90

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Solution

The fourth proportional to 118.66, 163.68 and 85.90 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.66 : 163.68 = 85.90 : x
  2. Step 2: Convert to fraction form
    118.66/163.68 = 85.90/x
  3. Step 3: Cross multiply
    118.66x = 163.68 × 85.90
  4. Step 4: Simplify right side
    118.66x = 14,060.11
  5. Step 5: Solve for x
    x = 14,060.11/118.66
  6. Step 6: Final answer
    x = 118.49

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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.