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Finding the Fourth Proportional to 128.80, 193.24 and 77.47

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Solution

The fourth proportional to 128.80, 193.24 and 77.47 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.80 : 193.24 = 77.47 : x
  2. Step 2: Convert to fraction form
    128.80/193.24 = 77.47/x
  3. Step 3: Cross multiply
    128.80x = 193.24 × 77.47
  4. Step 4: Simplify right side
    128.80x = 14,971.00
  5. Step 5: Solve for x
    x = 14,971.00/128.80
  6. Step 6: Final answer
    x = 116.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.