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Finding the Fourth Proportional to 94.25, 129.80 and 77.87

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Solution

The fourth proportional to 94.25, 129.80 and 77.87 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.25 : 129.80 = 77.87 : x
  2. Step 2: Convert to fraction form
    94.25/129.80 = 77.87/x
  3. Step 3: Cross multiply
    94.25x = 129.80 × 77.87
  4. Step 4: Simplify right side
    94.25x = 10,107.07
  5. Step 5: Solve for x
    x = 10,107.07/94.25
  6. Step 6: Final answer
    x = 107.24

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Why These Related Problems?

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