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Finding the Fourth Proportional to 128.30, 177.05 and 75.86

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Solution

The fourth proportional to 128.30, 177.05 and 75.86 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.30 : 177.05 = 75.86 : x
  2. Step 2: Convert to fraction form
    128.30/177.05 = 75.86/x
  3. Step 3: Cross multiply
    128.30x = 177.05 × 75.86
  4. Step 4: Simplify right side
    128.30x = 13,429.75
  5. Step 5: Solve for x
    x = 13,429.75/128.30
  6. Step 6: Final answer
    x = 104.68

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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.