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Finding the Fourth Proportional to 132.61, 182.71 and 109.37

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Solution

The fourth proportional to 132.61, 182.71 and 109.37 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.61 : 182.71 = 109.37 : x
  2. Step 2: Convert to fraction form
    132.61/182.71 = 109.37/x
  3. Step 3: Cross multiply
    132.61x = 182.71 × 109.37
  4. Step 4: Simplify right side
    132.61x = 19,981.53
  5. Step 5: Solve for x
    x = 19,981.53/132.61
  6. Step 6: Final answer
    x = 150.68

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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.