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Finding the Fourth Proportional to 120.57, 166.41 and 89.70

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Solution

The fourth proportional to 120.57, 166.41 and 89.70 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 166.41 = 89.70 : x
  2. Step 2: Convert to fraction form
    120.57/166.41 = 89.70/x
  3. Step 3: Cross multiply
    120.57x = 166.41 × 89.70
  4. Step 4: Simplify right side
    120.57x = 14,926.98
  5. Step 5: Solve for x
    x = 14,926.98/120.57
  6. Step 6: Final answer
    x = 123.80

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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.