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Finding the Fourth Proportional to 144.23, 216.31 and 48.02

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Solution

The fourth proportional to 144.23, 216.31 and 48.02 is: 72.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 216.31 = 48.02 : x
  2. Step 2: Convert to fraction form
    144.23/216.31 = 48.02/x
  3. Step 3: Cross multiply
    144.23x = 216.31 × 48.02
  4. Step 4: Simplify right side
    144.23x = 10,387.21
  5. Step 5: Solve for x
    x = 10,387.21/144.23
  6. Step 6: Final answer
    x = 72.02

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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.