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Finding the Fourth Proportional to 48.20, 72.28 and 21.13

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Solution

The fourth proportional to 48.20, 72.28 and 21.13 is: 31.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.20 : 72.28 = 21.13 : x
  2. Step 2: Convert to fraction form
    48.20/72.28 = 21.13/x
  3. Step 3: Cross multiply
    48.20x = 72.28 × 21.13
  4. Step 4: Simplify right side
    48.20x = 1,526.81
  5. Step 5: Solve for x
    x = 1,526.81/48.20
  6. Step 6: Final answer
    x = 31.68

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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.