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Finding the Fourth Proportional to 115.91, 159.93 and 77.09

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Solution

The fourth proportional to 115.91, 159.93 and 77.09 is: 106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.91 : 159.93 = 77.09 : x
  2. Step 2: Convert to fraction form
    115.91/159.93 = 77.09/x
  3. Step 3: Cross multiply
    115.91x = 159.93 × 77.09
  4. Step 4: Simplify right side
    115.91x = 12,327.82
  5. Step 5: Solve for x
    x = 12,327.82/115.91
  6. Step 6: Final answer
    x = 106.36

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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.