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Finding the Fourth Proportional to 66.62, 100.44 and 56

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Solution

The fourth proportional to 66.62, 100.44 and 56 is: 84.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.62 : 100.44 = 56 : x
  2. Step 2: Convert to fraction form
    66.62/100.44 = 56/x
  3. Step 3: Cross multiply
    66.62x = 100.44 × 56
  4. Step 4: Simplify right side
    66.62x = 5,624.36
  5. Step 5: Solve for x
    x = 5,624.36/66.62
  6. Step 6: Final answer
    x = 84.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.