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Finding the Fourth Proportional to 100.82, 151.25 and 35.82

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Solution

The fourth proportional to 100.82, 151.25 and 35.82 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.82 : 151.25 = 35.82 : x
  2. Step 2: Convert to fraction form
    100.82/151.25 = 35.82/x
  3. Step 3: Cross multiply
    100.82x = 151.25 × 35.82
  4. Step 4: Simplify right side
    100.82x = 5,417.60
  5. Step 5: Solve for x
    x = 5,417.60/100.82
  6. Step 6: Final answer
    x = 53.74

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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.