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Finding the Fourth Proportional to 115.71, 160.44 and 109.56

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Solution

The fourth proportional to 115.71, 160.44 and 109.56 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.71 : 160.44 = 109.56 : x
  2. Step 2: Convert to fraction form
    115.71/160.44 = 109.56/x
  3. Step 3: Cross multiply
    115.71x = 160.44 × 109.56
  4. Step 4: Simplify right side
    115.71x = 17,577.81
  5. Step 5: Solve for x
    x = 17,577.81/115.71
  6. Step 6: Final answer
    x = 151.91

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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.