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Finding the Fourth Proportional to 107.06, 160.50 and 33.90

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Solution

The fourth proportional to 107.06, 160.50 and 33.90 is: 50.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 160.50 = 33.90 : x
  2. Step 2: Convert to fraction form
    107.06/160.50 = 33.90/x
  3. Step 3: Cross multiply
    107.06x = 160.50 × 33.90
  4. Step 4: Simplify right side
    107.06x = 5,440.48
  5. Step 5: Solve for x
    x = 5,440.48/107.06
  6. Step 6: Final answer
    x = 50.82

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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.