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Finding the Fourth Proportional to 103.13, 154.31 and 77.37

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Solution

The fourth proportional to 103.13, 154.31 and 77.37 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 154.31 = 77.37 : x
  2. Step 2: Convert to fraction form
    103.13/154.31 = 77.37/x
  3. Step 3: Cross multiply
    103.13x = 154.31 × 77.37
  4. Step 4: Simplify right side
    103.13x = 11,938.00
  5. Step 5: Solve for x
    x = 11,938.00/103.13
  6. Step 6: Final answer
    x = 115.76

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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.