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Finding the Fourth Proportional to 173.91, 240.02 and 100.21

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Solution

The fourth proportional to 173.91, 240.02 and 100.21 is: 138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.91 : 240.02 = 100.21 : x
  2. Step 2: Convert to fraction form
    173.91/240.02 = 100.21/x
  3. Step 3: Cross multiply
    173.91x = 240.02 × 100.21
  4. Step 4: Simplify right side
    173.91x = 24,052.40
  5. Step 5: Solve for x
    x = 24,052.40/173.91
  6. Step 6: Final answer
    x = 138.30

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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.