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Finding the Fourth Proportional to 120.88, 166.84 and 74.28

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Solution

The fourth proportional to 120.88, 166.84 and 74.28 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 166.84 = 74.28 : x
  2. Step 2: Convert to fraction form
    120.88/166.84 = 74.28/x
  3. Step 3: Cross multiply
    120.88x = 166.84 × 74.28
  4. Step 4: Simplify right side
    120.88x = 12,392.38
  5. Step 5: Solve for x
    x = 12,392.38/120.88
  6. Step 6: Final answer
    x = 102.52

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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.