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Finding the Fourth Proportional to 105.41, 158.09 and 64.82

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Solution

The fourth proportional to 105.41, 158.09 and 64.82 is: 97.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 158.09 = 64.82 : x
  2. Step 2: Convert to fraction form
    105.41/158.09 = 64.82/x
  3. Step 3: Cross multiply
    105.41x = 158.09 × 64.82
  4. Step 4: Simplify right side
    105.41x = 10,246.28
  5. Step 5: Solve for x
    x = 10,246.28/105.41
  6. Step 6: Final answer
    x = 97.21

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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.