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Finding the Fourth Proportional to 128.78, 178.67 and 127.58

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Solution

The fourth proportional to 128.78, 178.67 and 127.58 is: 177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.78 : 178.67 = 127.58 : x
  2. Step 2: Convert to fraction form
    128.78/178.67 = 127.58/x
  3. Step 3: Cross multiply
    128.78x = 178.67 × 127.58
  4. Step 4: Simplify right side
    128.78x = 22,794.72
  5. Step 5: Solve for x
    x = 22,794.72/128.78
  6. Step 6: Final answer
    x = 177.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.