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Finding the Fourth Proportional to 100.68, 150.81 and 49.29

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Solution

The fourth proportional to 100.68, 150.81 and 49.29 is: 73.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.68 : 150.81 = 49.29 : x
  2. Step 2: Convert to fraction form
    100.68/150.81 = 49.29/x
  3. Step 3: Cross multiply
    100.68x = 150.81 × 49.29
  4. Step 4: Simplify right side
    100.68x = 7,433.42
  5. Step 5: Solve for x
    x = 7,433.42/100.68
  6. Step 6: Final answer
    x = 73.83

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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.