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Finding the Fourth Proportional to 111.59, 168.23 and 103.76

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Solution

The fourth proportional to 111.59, 168.23 and 103.76 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.59 : 168.23 = 103.76 : x
  2. Step 2: Convert to fraction form
    111.59/168.23 = 103.76/x
  3. Step 3: Cross multiply
    111.59x = 168.23 × 103.76
  4. Step 4: Simplify right side
    111.59x = 17,454.18
  5. Step 5: Solve for x
    x = 17,454.18/111.59
  6. Step 6: Final answer
    x = 156.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.