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Finding the Fourth Proportional to 80.42, 120.66 and 59

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Solution

The fourth proportional to 80.42, 120.66 and 59 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.42 : 120.66 = 59 : x
  2. Step 2: Convert to fraction form
    80.42/120.66 = 59/x
  3. Step 3: Cross multiply
    80.42x = 120.66 × 59
  4. Step 4: Simplify right side
    80.42x = 7,118.94
  5. Step 5: Solve for x
    x = 7,118.94/80.42
  6. Step 6: Final answer
    x = 88.52

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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.