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Finding the Fourth Proportional to 173.53, 239.38 and 99.80

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Solution

The fourth proportional to 173.53, 239.38 and 99.80 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.53 : 239.38 = 99.80 : x
  2. Step 2: Convert to fraction form
    173.53/239.38 = 99.80/x
  3. Step 3: Cross multiply
    173.53x = 239.38 × 99.80
  4. Step 4: Simplify right side
    173.53x = 23,890.12
  5. Step 5: Solve for x
    x = 23,890.12/173.53
  6. Step 6: Final answer
    x = 137.67

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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.