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Finding the Fourth Proportional to 105.90, 158.82 and 73.32

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Solution

The fourth proportional to 105.90, 158.82 and 73.32 is: 109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 158.82 = 73.32 : x
  2. Step 2: Convert to fraction form
    105.90/158.82 = 73.32/x
  3. Step 3: Cross multiply
    105.90x = 158.82 × 73.32
  4. Step 4: Simplify right side
    105.90x = 11,644.68
  5. Step 5: Solve for x
    x = 11,644.68/105.90
  6. Step 6: Final answer
    x = 109.96

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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.