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Finding the Fourth Proportional to 122.13, 168.42 and 97.50

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Solution

The fourth proportional to 122.13, 168.42 and 97.50 is: 134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 168.42 = 97.50 : x
  2. Step 2: Convert to fraction form
    122.13/168.42 = 97.50/x
  3. Step 3: Cross multiply
    122.13x = 168.42 × 97.50
  4. Step 4: Simplify right side
    122.13x = 16,420.95
  5. Step 5: Solve for x
    x = 16,420.95/122.13
  6. Step 6: Final answer
    x = 134.45

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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.