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Finding the Fourth Proportional to 144.23, 216.35 and 36.02

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Solution

The fourth proportional to 144.23, 216.35 and 36.02 is: 54.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 216.35 = 36.02 : x
  2. Step 2: Convert to fraction form
    144.23/216.35 = 36.02/x
  3. Step 3: Cross multiply
    144.23x = 216.35 × 36.02
  4. Step 4: Simplify right side
    144.23x = 7,791.67
  5. Step 5: Solve for x
    x = 7,791.67/144.23
  6. Step 6: Final answer
    x = 54.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.