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Finding the Fourth Proportional to 142.16, 196.23 and 109.37

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Solution

The fourth proportional to 142.16, 196.23 and 109.37 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 196.23 = 109.37 : x
  2. Step 2: Convert to fraction form
    142.16/196.23 = 109.37/x
  3. Step 3: Cross multiply
    142.16x = 196.23 × 109.37
  4. Step 4: Simplify right side
    142.16x = 21,460.15
  5. Step 5: Solve for x
    x = 21,460.15/142.16
  6. Step 6: Final answer
    x = 150.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.