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Finding the Fourth Proportional to 173.76, 239.85 and 111.75

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Solution

The fourth proportional to 173.76, 239.85 and 111.75 is: 154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.76 : 239.85 = 111.75 : x
  2. Step 2: Convert to fraction form
    173.76/239.85 = 111.75/x
  3. Step 3: Cross multiply
    173.76x = 239.85 × 111.75
  4. Step 4: Simplify right side
    173.76x = 26,803.24
  5. Step 5: Solve for x
    x = 26,803.24/173.76
  6. Step 6: Final answer
    x = 154.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.