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Finding the Fourth Proportional to 115.87, 159.94 and 77.07

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Solution

The fourth proportional to 115.87, 159.94 and 77.07 is: 106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.87 : 159.94 = 77.07 : x
  2. Step 2: Convert to fraction form
    115.87/159.94 = 77.07/x
  3. Step 3: Cross multiply
    115.87x = 159.94 × 77.07
  4. Step 4: Simplify right side
    115.87x = 12,326.58
  5. Step 5: Solve for x
    x = 12,326.58/115.87
  6. Step 6: Final answer
    x = 106.38

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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.