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Finding the Fourth Proportional to 115.83, 159.72 and 78.99

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Solution

The fourth proportional to 115.83, 159.72 and 78.99 is: 108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 159.72 = 78.99 : x
  2. Step 2: Convert to fraction form
    115.83/159.72 = 78.99/x
  3. Step 3: Cross multiply
    115.83x = 159.72 × 78.99
  4. Step 4: Simplify right side
    115.83x = 12,616.28
  5. Step 5: Solve for x
    x = 12,616.28/115.83
  6. Step 6: Final answer
    x = 108.92

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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.