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Finding the Fourth Proportional to 66.62, 100.41 and 66.62

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Solution

The fourth proportional to 66.62, 100.41 and 66.62 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.62 : 100.41 = 66.62 : x
  2. Step 2: Convert to fraction form
    66.62/100.41 = 66.62/x
  3. Step 3: Cross multiply
    66.62x = 100.41 × 66.62
  4. Step 4: Simplify right side
    66.62x = 6,689.31
  5. Step 5: Solve for x
    x = 6,689.31/66.62
  6. Step 6: Final answer
    x = 100.41

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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.