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Finding the Fourth Proportional to 128.17, 192.01 and 76.86

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Solution

The fourth proportional to 128.17, 192.01 and 76.86 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.17 : 192.01 = 76.86 : x
  2. Step 2: Convert to fraction form
    128.17/192.01 = 76.86/x
  3. Step 3: Cross multiply
    128.17x = 192.01 × 76.86
  4. Step 4: Simplify right side
    128.17x = 14,756.54
  5. Step 5: Solve for x
    x = 14,756.54/128.17
  6. Step 6: Final answer
    x = 115.13

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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.