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Finding the Fourth Proportional to 45.03, 67.54 and 18

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Solution

The fourth proportional to 45.03, 67.54 and 18 is: 27.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.03 : 67.54 = 18 : x
  2. Step 2: Convert to fraction form
    45.03/67.54 = 18/x
  3. Step 3: Cross multiply
    45.03x = 67.54 × 18
  4. Step 4: Simplify right side
    45.03x = 1,215.72
  5. Step 5: Solve for x
    x = 1,215.72/45.03
  6. Step 6: Final answer
    x = 27.00

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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.