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Finding the Fourth Proportional to 66.36, 100.21 and 66.36

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Solution

The fourth proportional to 66.36, 100.21 and 66.36 is: 100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.36 : 100.21 = 66.36 : x
  2. Step 2: Convert to fraction form
    66.36/100.21 = 66.36/x
  3. Step 3: Cross multiply
    66.36x = 100.21 × 66.36
  4. Step 4: Simplify right side
    66.36x = 6,649.94
  5. Step 5: Solve for x
    x = 6,649.94/66.36
  6. Step 6: Final answer
    x = 100.21

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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.