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Finding the Fourth Proportional to 128.18, 192.26 and 31.99

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Solution

The fourth proportional to 128.18, 192.26 and 31.99 is: 47.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.18 : 192.26 = 31.99 : x
  2. Step 2: Convert to fraction form
    128.18/192.26 = 31.99/x
  3. Step 3: Cross multiply
    128.18x = 192.26 × 31.99
  4. Step 4: Simplify right side
    128.18x = 6,150.00
  5. Step 5: Solve for x
    x = 6,150.00/128.18
  6. Step 6: Final answer
    x = 47.98

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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.