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Finding the Fourth Proportional to 111.88, 168.08 and 71.32

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Solution

The fourth proportional to 111.88, 168.08 and 71.32 is: 107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.88 : 168.08 = 71.32 : x
  2. Step 2: Convert to fraction form
    111.88/168.08 = 71.32/x
  3. Step 3: Cross multiply
    111.88x = 168.08 × 71.32
  4. Step 4: Simplify right side
    111.88x = 11,987.47
  5. Step 5: Solve for x
    x = 11,987.47/111.88
  6. Step 6: Final answer
    x = 107.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.