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Finding the Fourth Proportional to 106.19, 159.32 and 75.05

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Solution

The fourth proportional to 106.19, 159.32 and 75.05 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 159.32 = 75.05 : x
  2. Step 2: Convert to fraction form
    106.19/159.32 = 75.05/x
  3. Step 3: Cross multiply
    106.19x = 159.32 × 75.05
  4. Step 4: Simplify right side
    106.19x = 11,956.97
  5. Step 5: Solve for x
    x = 11,956.97/106.19
  6. Step 6: Final answer
    x = 112.60

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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.