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Finding the Fourth Proportional to 75.86, 104.02 and 74.04

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Solution

The fourth proportional to 75.86, 104.02 and 74.04 is: 101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 104.02 = 74.04 : x
  2. Step 2: Convert to fraction form
    75.86/104.02 = 74.04/x
  3. Step 3: Cross multiply
    75.86x = 104.02 × 74.04
  4. Step 4: Simplify right side
    75.86x = 7,701.73
  5. Step 5: Solve for x
    x = 7,701.73/75.86
  6. Step 6: Final answer
    x = 101.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.