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Finding the Fourth Proportional to 173.55, 239.45 and 99.84

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Solution

The fourth proportional to 173.55, 239.45 and 99.84 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 239.45 = 99.84 : x
  2. Step 2: Convert to fraction form
    173.55/239.45 = 99.84/x
  3. Step 3: Cross multiply
    173.55x = 239.45 × 99.84
  4. Step 4: Simplify right side
    173.55x = 23,906.19
  5. Step 5: Solve for x
    x = 23,906.19/173.55
  6. Step 6: Final answer
    x = 137.75

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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.