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Finding the Fourth Proportional to 106.80, 160.23 and 38.33

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Solution

The fourth proportional to 106.80, 160.23 and 38.33 is: 57.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 160.23 = 38.33 : x
  2. Step 2: Convert to fraction form
    106.80/160.23 = 38.33/x
  3. Step 3: Cross multiply
    106.80x = 160.23 × 38.33
  4. Step 4: Simplify right side
    106.80x = 6,140.81
  5. Step 5: Solve for x
    x = 6,140.81/106.80
  6. Step 6: Final answer
    x = 57.50

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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.