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Finding the Fourth Proportional to 100.85, 151.01 and 55.21

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Solution

The fourth proportional to 100.85, 151.01 and 55.21 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.85 : 151.01 = 55.21 : x
  2. Step 2: Convert to fraction form
    100.85/151.01 = 55.21/x
  3. Step 3: Cross multiply
    100.85x = 151.01 × 55.21
  4. Step 4: Simplify right side
    100.85x = 8,336.23
  5. Step 5: Solve for x
    x = 8,336.23/100.85
  6. Step 6: Final answer
    x = 82.66

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