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Finding the Fourth Proportional to 115.75, 159.64 and 80.77

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Solution

The fourth proportional to 115.75, 159.64 and 80.77 is: 111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 159.64 = 80.77 : x
  2. Step 2: Convert to fraction form
    115.75/159.64 = 80.77/x
  3. Step 3: Cross multiply
    115.75x = 159.64 × 80.77
  4. Step 4: Simplify right side
    115.75x = 12,894.12
  5. Step 5: Solve for x
    x = 12,894.12/115.75
  6. Step 6: Final answer
    x = 111.40

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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.