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Finding the Fourth Proportional to 128.23, 192.22 and 47.05

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Solution

The fourth proportional to 128.23, 192.22 and 47.05 is: 70.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.23 : 192.22 = 47.05 : x
  2. Step 2: Convert to fraction form
    128.23/192.22 = 47.05/x
  3. Step 3: Cross multiply
    128.23x = 192.22 × 47.05
  4. Step 4: Simplify right side
    128.23x = 9,043.95
  5. Step 5: Solve for x
    x = 9,043.95/128.23
  6. Step 6: Final answer
    x = 70.53

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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.