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Finding the Fourth Proportional to 111.89, 154.47 and 75.04

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Solution

The fourth proportional to 111.89, 154.47 and 75.04 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.89 : 154.47 = 75.04 : x
  2. Step 2: Convert to fraction form
    111.89/154.47 = 75.04/x
  3. Step 3: Cross multiply
    111.89x = 154.47 × 75.04
  4. Step 4: Simplify right side
    111.89x = 11,591.43
  5. Step 5: Solve for x
    x = 11,591.43/111.89
  6. Step 6: Final answer
    x = 103.60

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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.