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Finding the Fourth Proportional to 48.98, 67.63 and 31.52

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Solution

The fourth proportional to 48.98, 67.63 and 31.52 is: 43.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.98 : 67.63 = 31.52 : x
  2. Step 2: Convert to fraction form
    48.98/67.63 = 31.52/x
  3. Step 3: Cross multiply
    48.98x = 67.63 × 31.52
  4. Step 4: Simplify right side
    48.98x = 2,131.70
  5. Step 5: Solve for x
    x = 2,131.70/48.98
  6. Step 6: Final answer
    x = 43.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.