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Finding the Fourth Proportional to 128.82, 177.77 and 70.60

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Solution

The fourth proportional to 128.82, 177.77 and 70.60 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 177.77 = 70.60 : x
  2. Step 2: Convert to fraction form
    128.82/177.77 = 70.60/x
  3. Step 3: Cross multiply
    128.82x = 177.77 × 70.60
  4. Step 4: Simplify right side
    128.82x = 12,550.56
  5. Step 5: Solve for x
    x = 12,550.56/128.82
  6. Step 6: Final answer
    x = 97.43

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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.