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Finding the Fourth Proportional to 128.40, 191.87 and 111.93

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Solution

The fourth proportional to 128.40, 191.87 and 111.93 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.40 : 191.87 = 111.93 : x
  2. Step 2: Convert to fraction form
    128.40/191.87 = 111.93/x
  3. Step 3: Cross multiply
    128.40x = 191.87 × 111.93
  4. Step 4: Simplify right side
    128.40x = 21,475.45
  5. Step 5: Solve for x
    x = 21,475.45/128.40
  6. Step 6: Final answer
    x = 167.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.