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Finding the Fourth Proportional to 120.70, 166.53 and 71.59

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Solution

The fourth proportional to 120.70, 166.53 and 71.59 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.70 : 166.53 = 71.59 : x
  2. Step 2: Convert to fraction form
    120.70/166.53 = 71.59/x
  3. Step 3: Cross multiply
    120.70x = 166.53 × 71.59
  4. Step 4: Simplify right side
    120.70x = 11,921.88
  5. Step 5: Solve for x
    x = 11,921.88/120.70
  6. Step 6: Final answer
    x = 98.77

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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.