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Finding the Fourth Proportional to 122.52, 168.66 and 106.05

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Solution

The fourth proportional to 122.52, 168.66 and 106.05 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.52 : 168.66 = 106.05 : x
  2. Step 2: Convert to fraction form
    122.52/168.66 = 106.05/x
  3. Step 3: Cross multiply
    122.52x = 168.66 × 106.05
  4. Step 4: Simplify right side
    122.52x = 17,886.39
  5. Step 5: Solve for x
    x = 17,886.39/122.52
  6. Step 6: Final answer
    x = 145.99

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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.