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Finding the Fourth Proportional to 75.92, 104.77 and 48.31

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Solution

The fourth proportional to 75.92, 104.77 and 48.31 is: 66.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.92 : 104.77 = 48.31 : x
  2. Step 2: Convert to fraction form
    75.92/104.77 = 48.31/x
  3. Step 3: Cross multiply
    75.92x = 104.77 × 48.31
  4. Step 4: Simplify right side
    75.92x = 5,061.06
  5. Step 5: Solve for x
    x = 5,061.06/75.92
  6. Step 6: Final answer
    x = 66.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.