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Finding the Fourth Proportional to 75.71, 113.49 and 69.03

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Solution

The fourth proportional to 75.71, 113.49 and 69.03 is: 103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.71 : 113.49 = 69.03 : x
  2. Step 2: Convert to fraction form
    75.71/113.49 = 69.03/x
  3. Step 3: Cross multiply
    75.71x = 113.49 × 69.03
  4. Step 4: Simplify right side
    75.71x = 7,833.67
  5. Step 5: Solve for x
    x = 7,833.67/75.71
  6. Step 6: Final answer
    x = 103.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.