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Finding the Fourth Proportional to 173.32, 239.19 and 103.40

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Solution

The fourth proportional to 173.32, 239.19 and 103.40 is: 142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 239.19 = 103.40 : x
  2. Step 2: Convert to fraction form
    173.32/239.19 = 103.40/x
  3. Step 3: Cross multiply
    173.32x = 239.19 × 103.40
  4. Step 4: Simplify right side
    173.32x = 24,732.25
  5. Step 5: Solve for x
    x = 24,732.25/173.32
  6. Step 6: Final answer
    x = 142.70

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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.