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Finding the Fourth Proportional to 100.12, 150.14 and 35.11

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Solution

The fourth proportional to 100.12, 150.14 and 35.11 is: 52.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.12 : 150.14 = 35.11 : x
  2. Step 2: Convert to fraction form
    100.12/150.14 = 35.11/x
  3. Step 3: Cross multiply
    100.12x = 150.14 × 35.11
  4. Step 4: Simplify right side
    100.12x = 5,270.85
  5. Step 5: Solve for x
    x = 5,270.85/100.12
  6. Step 6: Final answer
    x = 52.65

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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.