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Finding the Fourth Proportional to 103.59, 155.43 and 66.96

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Solution

The fourth proportional to 103.59, 155.43 and 66.96 is: 100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.59 : 155.43 = 66.96 : x
  2. Step 2: Convert to fraction form
    103.59/155.43 = 66.96/x
  3. Step 3: Cross multiply
    103.59x = 155.43 × 66.96
  4. Step 4: Simplify right side
    103.59x = 10,407.59
  5. Step 5: Solve for x
    x = 10,407.59/103.59
  6. Step 6: Final answer
    x = 100.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.