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Finding the Fourth Proportional to 105.62, 159.38 and 101.99

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Solution

The fourth proportional to 105.62, 159.38 and 101.99 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.62 : 159.38 = 101.99 : x
  2. Step 2: Convert to fraction form
    105.62/159.38 = 101.99/x
  3. Step 3: Cross multiply
    105.62x = 159.38 × 101.99
  4. Step 4: Simplify right side
    105.62x = 16,255.44
  5. Step 5: Solve for x
    x = 16,255.44/105.62
  6. Step 6: Final answer
    x = 153.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.