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Finding the Fourth Proportional to 132.75, 183.04 and 106.63

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Solution

The fourth proportional to 132.75, 183.04 and 106.63 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.75 : 183.04 = 106.63 : x
  2. Step 2: Convert to fraction form
    132.75/183.04 = 106.63/x
  3. Step 3: Cross multiply
    132.75x = 183.04 × 106.63
  4. Step 4: Simplify right side
    132.75x = 19,516.83
  5. Step 5: Solve for x
    x = 19,516.83/132.75
  6. Step 6: Final answer
    x = 147.02

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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.