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Finding the Fourth Proportional to 48.61, 72.96 and 22.94

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Solution

The fourth proportional to 48.61, 72.96 and 22.94 is: 34.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.61 : 72.96 = 22.94 : x
  2. Step 2: Convert to fraction form
    48.61/72.96 = 22.94/x
  3. Step 3: Cross multiply
    48.61x = 72.96 × 22.94
  4. Step 4: Simplify right side
    48.61x = 1,673.70
  5. Step 5: Solve for x
    x = 1,673.70/48.61
  6. Step 6: Final answer
    x = 34.43

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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.