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Finding the Fourth Proportional to 75.32, 113.60 and 69.56

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Solution

The fourth proportional to 75.32, 113.60 and 69.56 is: 104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.32 : 113.60 = 69.56 : x
  2. Step 2: Convert to fraction form
    75.32/113.60 = 69.56/x
  3. Step 3: Cross multiply
    75.32x = 113.60 × 69.56
  4. Step 4: Simplify right side
    75.32x = 7,902.02
  5. Step 5: Solve for x
    x = 7,902.02/75.32
  6. Step 6: Final answer
    x = 104.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.