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Finding the Fourth Proportional to 45.03, 67.19 and 41.10

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Solution

The fourth proportional to 45.03, 67.19 and 41.10 is: 61.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.03 : 67.19 = 41.10 : x
  2. Step 2: Convert to fraction form
    45.03/67.19 = 41.10/x
  3. Step 3: Cross multiply
    45.03x = 67.19 × 41.10
  4. Step 4: Simplify right side
    45.03x = 2,761.30
  5. Step 5: Solve for x
    x = 2,761.30/45.03
  6. Step 6: Final answer
    x = 61.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.