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Finding the Fourth Proportional to 128.70, 177.63 and 120.88

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Solution

The fourth proportional to 128.70, 177.63 and 120.88 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.70 : 177.63 = 120.88 : x
  2. Step 2: Convert to fraction form
    128.70/177.63 = 120.88/x
  3. Step 3: Cross multiply
    128.70x = 177.63 × 120.88
  4. Step 4: Simplify right side
    128.70x = 21,471.91
  5. Step 5: Solve for x
    x = 21,471.91/128.70
  6. Step 6: Final answer
    x = 166.84

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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.