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Finding the Fourth Proportional to 103.68, 155.34 and 49.54

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Solution

The fourth proportional to 103.68, 155.34 and 49.54 is: 74.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.68 : 155.34 = 49.54 : x
  2. Step 2: Convert to fraction form
    103.68/155.34 = 49.54/x
  3. Step 3: Cross multiply
    103.68x = 155.34 × 49.54
  4. Step 4: Simplify right side
    103.68x = 7,695.54
  5. Step 5: Solve for x
    x = 7,695.54/103.68
  6. Step 6: Final answer
    x = 74.22

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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.