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Finding the Fourth Proportional to 105.89, 158.85 and 45.05

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Solution

The fourth proportional to 105.89, 158.85 and 45.05 is: 67.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.89 : 158.85 = 45.05 : x
  2. Step 2: Convert to fraction form
    105.89/158.85 = 45.05/x
  3. Step 3: Cross multiply
    105.89x = 158.85 × 45.05
  4. Step 4: Simplify right side
    105.89x = 7,156.19
  5. Step 5: Solve for x
    x = 7,156.19/105.89
  6. Step 6: Final answer
    x = 67.58

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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.