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Finding the Fourth Proportional to 115.86, 173.59 and 77.32

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Solution

The fourth proportional to 115.86, 173.59 and 77.32 is: 115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.86 : 173.59 = 77.32 : x
  2. Step 2: Convert to fraction form
    115.86/173.59 = 77.32/x
  3. Step 3: Cross multiply
    115.86x = 173.59 × 77.32
  4. Step 4: Simplify right side
    115.86x = 13,421.98
  5. Step 5: Solve for x
    x = 13,421.98/115.86
  6. Step 6: Final answer
    x = 115.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.