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Finding the Fourth Proportional to 128.85, 177.77 and 76.40

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Solution

The fourth proportional to 128.85, 177.77 and 76.40 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.85 : 177.77 = 76.40 : x
  2. Step 2: Convert to fraction form
    128.85/177.77 = 76.40/x
  3. Step 3: Cross multiply
    128.85x = 177.77 × 76.40
  4. Step 4: Simplify right side
    128.85x = 13,581.88
  5. Step 5: Solve for x
    x = 13,581.88/128.85
  6. Step 6: Final answer
    x = 105.41

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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.