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Finding the Fourth Proportional to 103.77, 154.82 and 100.13

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Solution

The fourth proportional to 103.77, 154.82 and 100.13 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.77 : 154.82 = 100.13 : x
  2. Step 2: Convert to fraction form
    103.77/154.82 = 100.13/x
  3. Step 3: Cross multiply
    103.77x = 154.82 × 100.13
  4. Step 4: Simplify right side
    103.77x = 15,500.85
  5. Step 5: Solve for x
    x = 15,500.85/103.77
  6. Step 6: Final answer
    x = 149.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.