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Finding the Fourth Proportional to 134.59, 185.67 and 119

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Solution

The fourth proportional to 134.59, 185.67 and 119 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.59 : 185.67 = 119 : x
  2. Step 2: Convert to fraction form
    134.59/185.67 = 119/x
  3. Step 3: Cross multiply
    134.59x = 185.67 × 119
  4. Step 4: Simplify right side
    134.59x = 22,094.73
  5. Step 5: Solve for x
    x = 22,094.73/134.59
  6. Step 6: Final answer
    x = 164.16

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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.