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Finding the Fourth Proportional to 48.57, 73.22 and 47.98

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Solution

The fourth proportional to 48.57, 73.22 and 47.98 is: 72.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.57 : 73.22 = 47.98 : x
  2. Step 2: Convert to fraction form
    48.57/73.22 = 47.98/x
  3. Step 3: Cross multiply
    48.57x = 73.22 × 47.98
  4. Step 4: Simplify right side
    48.57x = 3,513.10
  5. Step 5: Solve for x
    x = 3,513.10/48.57
  6. Step 6: Final answer
    x = 72.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.