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Finding the Fourth Proportional to 132.99, 182.75 and 109.63

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Solution

The fourth proportional to 132.99, 182.75 and 109.63 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.99 : 182.75 = 109.63 : x
  2. Step 2: Convert to fraction form
    132.99/182.75 = 109.63/x
  3. Step 3: Cross multiply
    132.99x = 182.75 × 109.63
  4. Step 4: Simplify right side
    132.99x = 20,034.88
  5. Step 5: Solve for x
    x = 20,034.88/132.99
  6. Step 6: Final answer
    x = 150.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.