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Finding the Fourth Proportional to 134.15, 185.04 and 97.23

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Solution

The fourth proportional to 134.15, 185.04 and 97.23 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.15 : 185.04 = 97.23 : x
  2. Step 2: Convert to fraction form
    134.15/185.04 = 97.23/x
  3. Step 3: Cross multiply
    134.15x = 185.04 × 97.23
  4. Step 4: Simplify right side
    134.15x = 17,991.44
  5. Step 5: Solve for x
    x = 17,991.44/134.15
  6. Step 6: Final answer
    x = 134.12

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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.