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Finding the Fourth Proportional to 66.56, 100.42 and 66.56

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Solution

The fourth proportional to 66.56, 100.42 and 66.56 is: 100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.56 : 100.42 = 66.56 : x
  2. Step 2: Convert to fraction form
    66.56/100.42 = 66.56/x
  3. Step 3: Cross multiply
    66.56x = 100.42 × 66.56
  4. Step 4: Simplify right side
    66.56x = 6,683.96
  5. Step 5: Solve for x
    x = 6,683.96/66.56
  6. Step 6: Final answer
    x = 100.42

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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.