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Finding the Fourth Proportional to 103.98, 156.23 and 96.49

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Solution

The fourth proportional to 103.98, 156.23 and 96.49 is: 144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.98 : 156.23 = 96.49 : x
  2. Step 2: Convert to fraction form
    103.98/156.23 = 96.49/x
  3. Step 3: Cross multiply
    103.98x = 156.23 × 96.49
  4. Step 4: Simplify right side
    103.98x = 15,074.71
  5. Step 5: Solve for x
    x = 15,074.71/103.98
  6. Step 6: Final answer
    x = 144.97

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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.