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Finding the Fourth Proportional to 132.57, 183.06 and 105.09

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Solution

The fourth proportional to 132.57, 183.06 and 105.09 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 183.06 = 105.09 : x
  2. Step 2: Convert to fraction form
    132.57/183.06 = 105.09/x
  3. Step 3: Cross multiply
    132.57x = 183.06 × 105.09
  4. Step 4: Simplify right side
    132.57x = 19,237.78
  5. Step 5: Solve for x
    x = 19,237.78/132.57
  6. Step 6: Final answer
    x = 145.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.