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Finding the Fourth Proportional to 173.93, 240.02 and 100.25

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Solution

The fourth proportional to 173.93, 240.02 and 100.25 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.93 : 240.02 = 100.25 : x
  2. Step 2: Convert to fraction form
    173.93/240.02 = 100.25/x
  3. Step 3: Cross multiply
    173.93x = 240.02 × 100.25
  4. Step 4: Simplify right side
    173.93x = 24,062.01
  5. Step 5: Solve for x
    x = 24,062.01/173.93
  6. Step 6: Final answer
    x = 138.34

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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.