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Finding the Fourth Proportional to 128.80, 177.66 and 82.14

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Solution

The fourth proportional to 128.80, 177.66 and 82.14 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.80 : 177.66 = 82.14 : x
  2. Step 2: Convert to fraction form
    128.80/177.66 = 82.14/x
  3. Step 3: Cross multiply
    128.80x = 177.66 × 82.14
  4. Step 4: Simplify right side
    128.80x = 14,592.99
  5. Step 5: Solve for x
    x = 14,592.99/128.80
  6. Step 6: Final answer
    x = 113.30

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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.