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Finding the Fourth Proportional to 118.52, 163.57 and 66.07

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Solution

The fourth proportional to 118.52, 163.57 and 66.07 is: 91.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.52 : 163.57 = 66.07 : x
  2. Step 2: Convert to fraction form
    118.52/163.57 = 66.07/x
  3. Step 3: Cross multiply
    118.52x = 163.57 × 66.07
  4. Step 4: Simplify right side
    118.52x = 10,807.07
  5. Step 5: Solve for x
    x = 10,807.07/118.52
  6. Step 6: Final answer
    x = 91.18

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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.