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Finding the Fourth Proportional to 48.44, 72.13 and 48.22

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Solution

The fourth proportional to 48.44, 72.13 and 48.22 is: 71.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 72.13 = 48.22 : x
  2. Step 2: Convert to fraction form
    48.44/72.13 = 48.22/x
  3. Step 3: Cross multiply
    48.44x = 72.13 × 48.22
  4. Step 4: Simplify right side
    48.44x = 3,477.99
  5. Step 5: Solve for x
    x = 3,477.99/48.44
  6. Step 6: Final answer
    x = 71.80

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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.