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Finding the Fourth Proportional to 173.40, 239.32 and 99.75

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Solution

The fourth proportional to 173.40, 239.32 and 99.75 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.40 : 239.32 = 99.75 : x
  2. Step 2: Convert to fraction form
    173.40/239.32 = 99.75/x
  3. Step 3: Cross multiply
    173.40x = 239.32 × 99.75
  4. Step 4: Simplify right side
    173.40x = 23,872.29
  5. Step 5: Solve for x
    x = 23,872.29/173.40
  6. Step 6: Final answer
    x = 137.67

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