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Finding the Fourth Proportional to 106.46, 159.44 and 75.89

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Solution

The fourth proportional to 106.46, 159.44 and 75.89 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 159.44 = 75.89 : x
  2. Step 2: Convert to fraction form
    106.46/159.44 = 75.89/x
  3. Step 3: Cross multiply
    106.46x = 159.44 × 75.89
  4. Step 4: Simplify right side
    106.46x = 12,099.02
  5. Step 5: Solve for x
    x = 12,099.02/106.46
  6. Step 6: Final answer
    x = 113.64

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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.