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Finding the Fourth Proportional to 102.23, 153.11 and 44.37

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Solution

The fourth proportional to 102.23, 153.11 and 44.37 is: 66.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.23 : 153.11 = 44.37 : x
  2. Step 2: Convert to fraction form
    102.23/153.11 = 44.37/x
  3. Step 3: Cross multiply
    102.23x = 153.11 × 44.37
  4. Step 4: Simplify right side
    102.23x = 6,793.27
  5. Step 5: Solve for x
    x = 6,793.27/102.23
  6. Step 6: Final answer
    x = 66.45

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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.