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Finding the Fourth Proportional to 87.81, 121.06 and 75.66

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Solution

The fourth proportional to 87.81, 121.06 and 75.66 is: 104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.81 : 121.06 = 75.66 : x
  2. Step 2: Convert to fraction form
    87.81/121.06 = 75.66/x
  3. Step 3: Cross multiply
    87.81x = 121.06 × 75.66
  4. Step 4: Simplify right side
    87.81x = 9,159.40
  5. Step 5: Solve for x
    x = 9,159.40/87.81
  6. Step 6: Final answer
    x = 104.31

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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.