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Finding the Fourth Proportional to 134.76, 186 and 83

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Solution

The fourth proportional to 134.76, 186 and 83 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 186 = 83 : x
  2. Step 2: Convert to fraction form
    134.76/186 = 83/x
  3. Step 3: Cross multiply
    134.76x = 186 × 83
  4. Step 4: Simplify right side
    134.76x = 15,438
  5. Step 5: Solve for x
    x = 15,438/134.76
  6. Step 6: Final answer
    x = 114.56

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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.