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Finding the Fourth Proportional to 120.93, 166.91 and 77.26

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Solution

The fourth proportional to 120.93, 166.91 and 77.26 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.93 : 166.91 = 77.26 : x
  2. Step 2: Convert to fraction form
    120.93/166.91 = 77.26/x
  3. Step 3: Cross multiply
    120.93x = 166.91 × 77.26
  4. Step 4: Simplify right side
    120.93x = 12,895.47
  5. Step 5: Solve for x
    x = 12,895.47/120.93
  6. Step 6: Final answer
    x = 106.64

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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.