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Finding the Fourth Proportional to 111.94, 167.26 and 98.08

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Solution

The fourth proportional to 111.94, 167.26 and 98.08 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 167.26 = 98.08 : x
  2. Step 2: Convert to fraction form
    111.94/167.26 = 98.08/x
  3. Step 3: Cross multiply
    111.94x = 167.26 × 98.08
  4. Step 4: Simplify right side
    111.94x = 16,404.86
  5. Step 5: Solve for x
    x = 16,404.86/111.94
  6. Step 6: Final answer
    x = 146.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.