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Finding the Fourth Proportional to 134.29, 185.24 and 84.50

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Solution

The fourth proportional to 134.29, 185.24 and 84.50 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.29 : 185.24 = 84.50 : x
  2. Step 2: Convert to fraction form
    134.29/185.24 = 84.50/x
  3. Step 3: Cross multiply
    134.29x = 185.24 × 84.50
  4. Step 4: Simplify right side
    134.29x = 15,652.81
  5. Step 5: Solve for x
    x = 15,652.81/134.29
  6. Step 6: Final answer
    x = 116.56

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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.