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Finding the Fourth Proportional to 132.00, 182.14 and 76.71

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Solution

The fourth proportional to 132.00, 182.14 and 76.71 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.00 : 182.14 = 76.71 : x
  2. Step 2: Convert to fraction form
    132.00/182.14 = 76.71/x
  3. Step 3: Cross multiply
    132.00x = 182.14 × 76.71
  4. Step 4: Simplify right side
    132.00x = 13,971.57
  5. Step 5: Solve for x
    x = 13,971.57/132.00
  6. Step 6: Final answer
    x = 105.84

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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.