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Finding the Fourth Proportional to 77.48, 107.62 and 75.32

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Solution

The fourth proportional to 77.48, 107.62 and 75.32 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.48 : 107.62 = 75.32 : x
  2. Step 2: Convert to fraction form
    77.48/107.62 = 75.32/x
  3. Step 3: Cross multiply
    77.48x = 107.62 × 75.32
  4. Step 4: Simplify right side
    77.48x = 8,105.94
  5. Step 5: Solve for x
    x = 8,105.94/77.48
  6. Step 6: Final answer
    x = 104.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.