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Finding the Fourth Proportional to 106.81, 160.38 and 91.75

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Solution

The fourth proportional to 106.81, 160.38 and 91.75 is: 137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.81 : 160.38 = 91.75 : x
  2. Step 2: Convert to fraction form
    106.81/160.38 = 91.75/x
  3. Step 3: Cross multiply
    106.81x = 160.38 × 91.75
  4. Step 4: Simplify right side
    106.81x = 14,714.87
  5. Step 5: Solve for x
    x = 14,714.87/106.81
  6. Step 6: Final answer
    x = 137.77

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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.