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Finding the Fourth Proportional to 105.85, 159 and 101.53

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Solution

The fourth proportional to 105.85, 159 and 101.53 is: 152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 159 = 101.53 : x
  2. Step 2: Convert to fraction form
    105.85/159 = 101.53/x
  3. Step 3: Cross multiply
    105.85x = 159 × 101.53
  4. Step 4: Simplify right side
    105.85x = 16,143.27
  5. Step 5: Solve for x
    x = 16,143.27/105.85
  6. Step 6: Final answer
    x = 152.51

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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.