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Finding the Fourth Proportional to 115.94, 160.74 and 109.79

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Solution

The fourth proportional to 115.94, 160.74 and 109.79 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.94 : 160.74 = 109.79 : x
  2. Step 2: Convert to fraction form
    115.94/160.74 = 109.79/x
  3. Step 3: Cross multiply
    115.94x = 160.74 × 109.79
  4. Step 4: Simplify right side
    115.94x = 17,647.64
  5. Step 5: Solve for x
    x = 17,647.64/115.94
  6. Step 6: Final answer
    x = 152.21

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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.