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Finding the Fourth Proportional to 103.98, 156.03 and 39.84

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Solution

The fourth proportional to 103.98, 156.03 and 39.84 is: 59.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.98 : 156.03 = 39.84 : x
  2. Step 2: Convert to fraction form
    103.98/156.03 = 39.84/x
  3. Step 3: Cross multiply
    103.98x = 156.03 × 39.84
  4. Step 4: Simplify right side
    103.98x = 6,216.24
  5. Step 5: Solve for x
    x = 6,216.24/103.98
  6. Step 6: Final answer
    x = 59.78

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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.