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Finding the Fourth Proportional to 100.14, 150.16 and 61.56

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Solution

The fourth proportional to 100.14, 150.16 and 61.56 is: 92.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 150.16 = 61.56 : x
  2. Step 2: Convert to fraction form
    100.14/150.16 = 61.56/x
  3. Step 3: Cross multiply
    100.14x = 150.16 × 61.56
  4. Step 4: Simplify right side
    100.14x = 9,243.98
  5. Step 5: Solve for x
    x = 9,243.98/100.14
  6. Step 6: Final answer
    x = 92.31

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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.