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Finding the Fourth Proportional to 128.26, 192.22 and 70.40

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Solution

The fourth proportional to 128.26, 192.22 and 70.40 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.26 : 192.22 = 70.40 : x
  2. Step 2: Convert to fraction form
    128.26/192.22 = 70.40/x
  3. Step 3: Cross multiply
    128.26x = 192.22 × 70.40
  4. Step 4: Simplify right side
    128.26x = 13,530.97
  5. Step 5: Solve for x
    x = 13,530.97/128.26
  6. Step 6: Final answer
    x = 105.50

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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.