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Finding the Fourth Proportional to 105, 156.68 and 100.41

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Solution

The fourth proportional to 105, 156.68 and 100.41 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 156.68 = 100.41 : x
  2. Step 2: Convert to fraction form
    105/156.68 = 100.41/x
  3. Step 3: Cross multiply
    105x = 156.68 × 100.41
  4. Step 4: Simplify right side
    105x = 15,731.74
  5. Step 5: Solve for x
    x = 15,731.74/105
  6. Step 6: Final answer
    x = 149.83

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