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Finding the Fourth Proportional to 149.06, 223.77 and 77.06

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Solution

The fourth proportional to 149.06, 223.77 and 77.06 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 223.77 = 77.06 : x
  2. Step 2: Convert to fraction form
    149.06/223.77 = 77.06/x
  3. Step 3: Cross multiply
    149.06x = 223.77 × 77.06
  4. Step 4: Simplify right side
    149.06x = 17,243.72
  5. Step 5: Solve for x
    x = 17,243.72/149.06
  6. Step 6: Final answer
    x = 115.68

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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.