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Finding the Fourth Proportional to 45.02, 67.54 and 27.02

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Solution

The fourth proportional to 45.02, 67.54 and 27.02 is: 40.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.02 : 67.54 = 27.02 : x
  2. Step 2: Convert to fraction form
    45.02/67.54 = 27.02/x
  3. Step 3: Cross multiply
    45.02x = 67.54 × 27.02
  4. Step 4: Simplify right side
    45.02x = 1,824.93
  5. Step 5: Solve for x
    x = 1,824.93/45.02
  6. Step 6: Final answer
    x = 40.54

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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.