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Finding the Fourth Proportional to 128.16, 192.24 and 51.07

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Solution

The fourth proportional to 128.16, 192.24 and 51.07 is: 76.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 192.24 = 51.07 : x
  2. Step 2: Convert to fraction form
    128.16/192.24 = 51.07/x
  3. Step 3: Cross multiply
    128.16x = 192.24 × 51.07
  4. Step 4: Simplify right side
    128.16x = 9,817.70
  5. Step 5: Solve for x
    x = 9,817.70/128.16
  6. Step 6: Final answer
    x = 76.61

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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.