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Finding the Fourth Proportional to 120.76, 166.70 and 77.08

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Solution

The fourth proportional to 120.76, 166.70 and 77.08 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.76 : 166.70 = 77.08 : x
  2. Step 2: Convert to fraction form
    120.76/166.70 = 77.08/x
  3. Step 3: Cross multiply
    120.76x = 166.70 × 77.08
  4. Step 4: Simplify right side
    120.76x = 12,849.24
  5. Step 5: Solve for x
    x = 12,849.24/120.76
  6. Step 6: Final answer
    x = 106.40

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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.