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Finding the Fourth Proportional to 134.31, 185.39 and 76.13

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Solution

The fourth proportional to 134.31, 185.39 and 76.13 is: 105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 185.39 = 76.13 : x
  2. Step 2: Convert to fraction form
    134.31/185.39 = 76.13/x
  3. Step 3: Cross multiply
    134.31x = 185.39 × 76.13
  4. Step 4: Simplify right side
    134.31x = 14,113.74
  5. Step 5: Solve for x
    x = 14,113.74/134.31
  6. Step 6: Final answer
    x = 105.08

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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.