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Finding the Fourth Proportional to 48.23, 72.34 and 20.80

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Solution

The fourth proportional to 48.23, 72.34 and 20.80 is: 31.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 72.34 = 20.80 : x
  2. Step 2: Convert to fraction form
    48.23/72.34 = 20.80/x
  3. Step 3: Cross multiply
    48.23x = 72.34 × 20.80
  4. Step 4: Simplify right side
    48.23x = 1,504.71
  5. Step 5: Solve for x
    x = 1,504.71/48.23
  6. Step 6: Final answer
    x = 31.20

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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.