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Finding the Fourth Proportional to 105.91, 157.76 and 100.64

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Solution

The fourth proportional to 105.91, 157.76 and 100.64 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.91 : 157.76 = 100.64 : x
  2. Step 2: Convert to fraction form
    105.91/157.76 = 100.64/x
  3. Step 3: Cross multiply
    105.91x = 157.76 × 100.64
  4. Step 4: Simplify right side
    105.91x = 15,876.97
  5. Step 5: Solve for x
    x = 15,876.97/105.91
  6. Step 6: Final answer
    x = 149.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.