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Finding the Fourth Proportional to 128.92, 177.60 and 103

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Solution

The fourth proportional to 128.92, 177.60 and 103 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.92 : 177.60 = 103 : x
  2. Step 2: Convert to fraction form
    128.92/177.60 = 103/x
  3. Step 3: Cross multiply
    128.92x = 177.60 × 103
  4. Step 4: Simplify right side
    128.92x = 18,292.80
  5. Step 5: Solve for x
    x = 18,292.80/128.92
  6. Step 6: Final answer
    x = 141.89

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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.