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Finding the Fourth Proportional to 45.30, 67.84 and 24.98

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Solution

The fourth proportional to 45.30, 67.84 and 24.98 is: 37.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.30 : 67.84 = 24.98 : x
  2. Step 2: Convert to fraction form
    45.30/67.84 = 24.98/x
  3. Step 3: Cross multiply
    45.30x = 67.84 × 24.98
  4. Step 4: Simplify right side
    45.30x = 1,694.64
  5. Step 5: Solve for x
    x = 1,694.64/45.30
  6. Step 6: Final answer
    x = 37.41

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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.