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Finding the Fourth Proportional to 128.60, 193.19 and 111.31

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Solution

The fourth proportional to 128.60, 193.19 and 111.31 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.60 : 193.19 = 111.31 : x
  2. Step 2: Convert to fraction form
    128.60/193.19 = 111.31/x
  3. Step 3: Cross multiply
    128.60x = 193.19 × 111.31
  4. Step 4: Simplify right side
    128.60x = 21,503.01
  5. Step 5: Solve for x
    x = 21,503.01/128.60
  6. Step 6: Final answer
    x = 167.21

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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.