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Finding the Fourth Proportional to 128.55, 177.30 and 76.80

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Solution

The fourth proportional to 128.55, 177.30 and 76.80 is: 105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.55 : 177.30 = 76.80 : x
  2. Step 2: Convert to fraction form
    128.55/177.30 = 76.80/x
  3. Step 3: Cross multiply
    128.55x = 177.30 × 76.80
  4. Step 4: Simplify right side
    128.55x = 13,616.64
  5. Step 5: Solve for x
    x = 13,616.64/128.55
  6. Step 6: Final answer
    x = 105.92

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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.