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Finding the Fourth Proportional to 134.84, 202.32 and 112.16

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Solution

The fourth proportional to 134.84, 202.32 and 112.16 is: 168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.84 : 202.32 = 112.16 : x
  2. Step 2: Convert to fraction form
    134.84/202.32 = 112.16/x
  3. Step 3: Cross multiply
    134.84x = 202.32 × 112.16
  4. Step 4: Simplify right side
    134.84x = 22,692.21
  5. Step 5: Solve for x
    x = 22,692.21/134.84
  6. Step 6: Final answer
    x = 168.29

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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.