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Finding the Fourth Proportional to 100.06, 150.14 and 54.39

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Solution

The fourth proportional to 100.06, 150.14 and 54.39 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.06 : 150.14 = 54.39 : x
  2. Step 2: Convert to fraction form
    100.06/150.14 = 54.39/x
  3. Step 3: Cross multiply
    100.06x = 150.14 × 54.39
  4. Step 4: Simplify right side
    100.06x = 8,166.11
  5. Step 5: Solve for x
    x = 8,166.11/100.06
  6. Step 6: Final answer
    x = 81.61

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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.