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Finding the Fourth Proportional to 173.68, 239.72 and 100.04

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Solution

The fourth proportional to 173.68, 239.72 and 100.04 is: 138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.68 : 239.72 = 100.04 : x
  2. Step 2: Convert to fraction form
    173.68/239.72 = 100.04/x
  3. Step 3: Cross multiply
    173.68x = 239.72 × 100.04
  4. Step 4: Simplify right side
    173.68x = 23,981.59
  5. Step 5: Solve for x
    x = 23,981.59/173.68
  6. Step 6: Final answer
    x = 138.08

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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.