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Finding the Fourth Proportional to 106.58, 160.01 and 83.84

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Solution

The fourth proportional to 106.58, 160.01 and 83.84 is: 125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.58 : 160.01 = 83.84 : x
  2. Step 2: Convert to fraction form
    106.58/160.01 = 83.84/x
  3. Step 3: Cross multiply
    106.58x = 160.01 × 83.84
  4. Step 4: Simplify right side
    106.58x = 13,414.02
  5. Step 5: Solve for x
    x = 13,414.02/106.58
  6. Step 6: Final answer
    x = 125.86

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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.