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Finding the Fourth Proportional to 115.89, 160.77 and 109.74

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Solution

The fourth proportional to 115.89, 160.77 and 109.74 is: 152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.89 : 160.77 = 109.74 : x
  2. Step 2: Convert to fraction form
    115.89/160.77 = 109.74/x
  3. Step 3: Cross multiply
    115.89x = 160.77 × 109.74
  4. Step 4: Simplify right side
    115.89x = 17,642.75
  5. Step 5: Solve for x
    x = 17,642.75/115.89
  6. Step 6: Final answer
    x = 152.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.