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Finding the Fourth Proportional to 120.46, 180.71 and 66.34

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Solution

The fourth proportional to 120.46, 180.71 and 66.34 is: 99.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.46 : 180.71 = 66.34 : x
  2. Step 2: Convert to fraction form
    120.46/180.71 = 66.34/x
  3. Step 3: Cross multiply
    120.46x = 180.71 × 66.34
  4. Step 4: Simplify right side
    120.46x = 11,988.30
  5. Step 5: Solve for x
    x = 11,988.30/120.46
  6. Step 6: Final answer
    x = 99.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.