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Finding the Fourth Proportional to 128.32, 192.56 and 56.20

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Solution

The fourth proportional to 128.32, 192.56 and 56.20 is: 84.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.32 : 192.56 = 56.20 : x
  2. Step 2: Convert to fraction form
    128.32/192.56 = 56.20/x
  3. Step 3: Cross multiply
    128.32x = 192.56 × 56.20
  4. Step 4: Simplify right side
    128.32x = 10,821.87
  5. Step 5: Solve for x
    x = 10,821.87/128.32
  6. Step 6: Final answer
    x = 84.34

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