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Finding the Fourth Proportional to 132.51, 182.60 and 85.83

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Solution

The fourth proportional to 132.51, 182.60 and 85.83 is: 118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 182.60 = 85.83 : x
  2. Step 2: Convert to fraction form
    132.51/182.60 = 85.83/x
  3. Step 3: Cross multiply
    132.51x = 182.60 × 85.83
  4. Step 4: Simplify right side
    132.51x = 15,672.13
  5. Step 5: Solve for x
    x = 15,672.13/132.51
  6. Step 6: Final answer
    x = 118.27

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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.