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Finding the Fourth Proportional to 122.50, 168.98 and 81.06

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Solution

The fourth proportional to 122.50, 168.98 and 81.06 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 168.98 = 81.06 : x
  2. Step 2: Convert to fraction form
    122.50/168.98 = 81.06/x
  3. Step 3: Cross multiply
    122.50x = 168.98 × 81.06
  4. Step 4: Simplify right side
    122.50x = 13,697.52
  5. Step 5: Solve for x
    x = 13,697.52/122.50
  6. Step 6: Final answer
    x = 111.82

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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.