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Finding the Fourth Proportional to 120.52, 166.07 and 87.27

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Solution

The fourth proportional to 120.52, 166.07 and 87.27 is: 120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 166.07 = 87.27 : x
  2. Step 2: Convert to fraction form
    120.52/166.07 = 87.27/x
  3. Step 3: Cross multiply
    120.52x = 166.07 × 87.27
  4. Step 4: Simplify right side
    120.52x = 14,492.70
  5. Step 5: Solve for x
    x = 14,492.70/120.52
  6. Step 6: Final answer
    x = 120.25

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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.