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Finding the Fourth Proportional to 66.44, 100.29 and 66.44

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Solution

The fourth proportional to 66.44, 100.29 and 66.44 is: 100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.44 : 100.29 = 66.44 : x
  2. Step 2: Convert to fraction form
    66.44/100.29 = 66.44/x
  3. Step 3: Cross multiply
    66.44x = 100.29 × 66.44
  4. Step 4: Simplify right side
    66.44x = 6,663.27
  5. Step 5: Solve for x
    x = 6,663.27/66.44
  6. Step 6: Final answer
    x = 100.29

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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.