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Finding the Fourth Proportional to 45.10, 67.66 and 19.42

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Solution

The fourth proportional to 45.10, 67.66 and 19.42 is: 29.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.10 : 67.66 = 19.42 : x
  2. Step 2: Convert to fraction form
    45.10/67.66 = 19.42/x
  3. Step 3: Cross multiply
    45.10x = 67.66 × 19.42
  4. Step 4: Simplify right side
    45.10x = 1,313.96
  5. Step 5: Solve for x
    x = 1,313.96/45.10
  6. Step 6: Final answer
    x = 29.13

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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.