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Finding the Fourth Proportional to 45.82, 68.91 and 45.42

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Solution

The fourth proportional to 45.82, 68.91 and 45.42 is: 68.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.82 : 68.91 = 45.42 : x
  2. Step 2: Convert to fraction form
    45.82/68.91 = 45.42/x
  3. Step 3: Cross multiply
    45.82x = 68.91 × 45.42
  4. Step 4: Simplify right side
    45.82x = 3,129.89
  5. Step 5: Solve for x
    x = 3,129.89/45.82
  6. Step 6: Final answer
    x = 68.31

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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.