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Finding the Fourth Proportional to 69.24, 104.34 and 57.32

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Solution

The fourth proportional to 69.24, 104.34 and 57.32 is: 86.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 104.34 = 57.32 : x
  2. Step 2: Convert to fraction form
    69.24/104.34 = 57.32/x
  3. Step 3: Cross multiply
    69.24x = 104.34 × 57.32
  4. Step 4: Simplify right side
    69.24x = 5,980.24
  5. Step 5: Solve for x
    x = 5,980.24/69.24
  6. Step 6: Final answer
    x = 86.37

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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.