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Finding the Fourth Proportional to 128.74, 178.40 and 123.96

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Solution

The fourth proportional to 128.74, 178.40 and 123.96 is: 171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.74 : 178.40 = 123.96 : x
  2. Step 2: Convert to fraction form
    128.74/178.40 = 123.96/x
  3. Step 3: Cross multiply
    128.74x = 178.40 × 123.96
  4. Step 4: Simplify right side
    128.74x = 22,113.94
  5. Step 5: Solve for x
    x = 22,113.94/128.74
  6. Step 6: Final answer
    x = 171.77

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Why These Related Problems?

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