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Finding the Fourth Proportional to 128.54, 177.40 and 76.82

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Solution

The fourth proportional to 128.54, 177.40 and 76.82 is: 106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.54 : 177.40 = 76.82 : x
  2. Step 2: Convert to fraction form
    128.54/177.40 = 76.82/x
  3. Step 3: Cross multiply
    128.54x = 177.40 × 76.82
  4. Step 4: Simplify right side
    128.54x = 13,627.87
  5. Step 5: Solve for x
    x = 13,627.87/128.54
  6. Step 6: Final answer
    x = 106.02

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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.