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Finding the Fourth Proportional to 48.49, 72.72 and 22.81

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Solution

The fourth proportional to 48.49, 72.72 and 22.81 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.49 : 72.72 = 22.81 : x
  2. Step 2: Convert to fraction form
    48.49/72.72 = 22.81/x
  3. Step 3: Cross multiply
    48.49x = 72.72 × 22.81
  4. Step 4: Simplify right side
    48.49x = 1,658.74
  5. Step 5: Solve for x
    x = 1,658.74/48.49
  6. Step 6: Final answer
    x = 34.21

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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.