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Finding the Fourth Proportional to 134.44, 185.54 and 87.16

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Solution

The fourth proportional to 134.44, 185.54 and 87.16 is: 120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.44 : 185.54 = 87.16 : x
  2. Step 2: Convert to fraction form
    134.44/185.54 = 87.16/x
  3. Step 3: Cross multiply
    134.44x = 185.54 × 87.16
  4. Step 4: Simplify right side
    134.44x = 16,171.67
  5. Step 5: Solve for x
    x = 16,171.67/134.44
  6. Step 6: Final answer
    x = 120.29

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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.