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Finding the Fourth Proportional to 132.76, 182.94 and 95.80

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Solution

The fourth proportional to 132.76, 182.94 and 95.80 is: 132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.76 : 182.94 = 95.80 : x
  2. Step 2: Convert to fraction form
    132.76/182.94 = 95.80/x
  3. Step 3: Cross multiply
    132.76x = 182.94 × 95.80
  4. Step 4: Simplify right side
    132.76x = 17,525.65
  5. Step 5: Solve for x
    x = 17,525.65/132.76
  6. Step 6: Final answer
    x = 132.01

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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.