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Finding the Fourth Proportional to 122.16, 168.44 and 102.52

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Solution

The fourth proportional to 122.16, 168.44 and 102.52 is: 141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.44 = 102.52 : x
  2. Step 2: Convert to fraction form
    122.16/168.44 = 102.52/x
  3. Step 3: Cross multiply
    122.16x = 168.44 × 102.52
  4. Step 4: Simplify right side
    122.16x = 17,268.47
  5. Step 5: Solve for x
    x = 17,268.47/122.16
  6. Step 6: Final answer
    x = 141.36

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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.