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Finding the Fourth Proportional to 45.02, 67.83 and 44.75

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Solution

The fourth proportional to 45.02, 67.83 and 44.75 is: 67.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.02 : 67.83 = 44.75 : x
  2. Step 2: Convert to fraction form
    45.02/67.83 = 44.75/x
  3. Step 3: Cross multiply
    45.02x = 67.83 × 44.75
  4. Step 4: Simplify right side
    45.02x = 3,035.05
  5. Step 5: Solve for x
    x = 3,035.05/45.02
  6. Step 6: Final answer
    x = 67.42

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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.