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Finding the Fourth Proportional to 75.08, 111.85 and 71.75

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Solution

The fourth proportional to 75.08, 111.85 and 71.75 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 111.85 = 71.75 : x
  2. Step 2: Convert to fraction form
    75.08/111.85 = 71.75/x
  3. Step 3: Cross multiply
    75.08x = 111.85 × 71.75
  4. Step 4: Simplify right side
    75.08x = 8,025.34
  5. Step 5: Solve for x
    x = 8,025.34/75.08
  6. Step 6: Final answer
    x = 106.89

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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.