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Finding the Fourth Proportional to 144.06, 214.32 and 135.42

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Solution

The fourth proportional to 144.06, 214.32 and 135.42 is: 201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 214.32 = 135.42 : x
  2. Step 2: Convert to fraction form
    144.06/214.32 = 135.42/x
  3. Step 3: Cross multiply
    144.06x = 214.32 × 135.42
  4. Step 4: Simplify right side
    144.06x = 29,023.21
  5. Step 5: Solve for x
    x = 29,023.21/144.06
  6. Step 6: Final answer
    x = 201.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.