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Finding the Fourth Proportional to 49.98, 75 and 31.98

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Solution

The fourth proportional to 49.98, 75 and 31.98 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.98 : 75 = 31.98 : x
  2. Step 2: Convert to fraction form
    49.98/75 = 31.98/x
  3. Step 3: Cross multiply
    49.98x = 75 × 31.98
  4. Step 4: Simplify right side
    49.98x = 2,398.50
  5. Step 5: Solve for x
    x = 2,398.50/49.98
  6. Step 6: Final answer
    x = 47.99

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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.