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Finding the Fourth Proportional to 106.76, 160.00 and 92.24

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Solution

The fourth proportional to 106.76, 160.00 and 92.24 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.76 : 160.00 = 92.24 : x
  2. Step 2: Convert to fraction form
    106.76/160.00 = 92.24/x
  3. Step 3: Cross multiply
    106.76x = 160.00 × 92.24
  4. Step 4: Simplify right side
    106.76x = 14,758.57
  5. Step 5: Solve for x
    x = 14,758.57/106.76
  6. Step 6: Final answer
    x = 138.25

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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.