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Finding the Fourth Proportional to 134.19, 185.20 and 85.19

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Solution

The fourth proportional to 134.19, 185.20 and 85.19 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.19 : 185.20 = 85.19 : x
  2. Step 2: Convert to fraction form
    134.19/185.20 = 85.19/x
  3. Step 3: Cross multiply
    134.19x = 185.20 × 85.19
  4. Step 4: Simplify right side
    134.19x = 15,777.19
  5. Step 5: Solve for x
    x = 15,777.19/134.19
  6. Step 6: Final answer
    x = 117.57

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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.