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Finding the Fourth Proportional to 103.29, 155.00 and 49.18

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Solution

The fourth proportional to 103.29, 155.00 and 49.18 is: 73.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.29 : 155.00 = 49.18 : x
  2. Step 2: Convert to fraction form
    103.29/155.00 = 49.18/x
  3. Step 3: Cross multiply
    103.29x = 155.00 × 49.18
  4. Step 4: Simplify right side
    103.29x = 7,622.27
  5. Step 5: Solve for x
    x = 7,622.27/103.29
  6. Step 6: Final answer
    x = 73.79

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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.