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Finding the Fourth Proportional to 128.92, 177.92 and 123.45

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Solution

The fourth proportional to 128.92, 177.92 and 123.45 is: 170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.92 : 177.92 = 123.45 : x
  2. Step 2: Convert to fraction form
    128.92/177.92 = 123.45/x
  3. Step 3: Cross multiply
    128.92x = 177.92 × 123.45
  4. Step 4: Simplify right side
    128.92x = 21,964.22
  5. Step 5: Solve for x
    x = 21,964.22/128.92
  6. Step 6: Final answer
    x = 170.37

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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.