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Finding the Fourth Proportional to 48.83, 73.22 and 23.14

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Solution

The fourth proportional to 48.83, 73.22 and 23.14 is: 34.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.83 : 73.22 = 23.14 : x
  2. Step 2: Convert to fraction form
    48.83/73.22 = 23.14/x
  3. Step 3: Cross multiply
    48.83x = 73.22 × 23.14
  4. Step 4: Simplify right side
    48.83x = 1,694.31
  5. Step 5: Solve for x
    x = 1,694.31/48.83
  6. Step 6: Final answer
    x = 34.70

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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.