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Finding the Fourth Proportional to 83.04, 113.86 and 75.24

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Solution

The fourth proportional to 83.04, 113.86 and 75.24 is: 103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 113.86 = 75.24 : x
  2. Step 2: Convert to fraction form
    83.04/113.86 = 75.24/x
  3. Step 3: Cross multiply
    83.04x = 113.86 × 75.24
  4. Step 4: Simplify right side
    83.04x = 8,566.83
  5. Step 5: Solve for x
    x = 8,566.83/83.04
  6. Step 6: Final answer
    x = 103.17

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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.