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Finding the Fourth Proportional to 103.37, 155.18 and 49.30

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Solution

The fourth proportional to 103.37, 155.18 and 49.30 is: 74.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.37 : 155.18 = 49.30 : x
  2. Step 2: Convert to fraction form
    103.37/155.18 = 49.30/x
  3. Step 3: Cross multiply
    103.37x = 155.18 × 49.30
  4. Step 4: Simplify right side
    103.37x = 7,650.11
  5. Step 5: Solve for x
    x = 7,650.11/103.37
  6. Step 6: Final answer
    x = 74.01

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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.