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Finding the Fourth Proportional to 138.68, 191.55 and 111.00

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Solution

The fourth proportional to 138.68, 191.55 and 111.00 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 191.55 = 111.00 : x
  2. Step 2: Convert to fraction form
    138.68/191.55 = 111.00/x
  3. Step 3: Cross multiply
    138.68x = 191.55 × 111.00
  4. Step 4: Simplify right side
    138.68x = 21,263.18
  5. Step 5: Solve for x
    x = 21,263.18/138.68
  6. Step 6: Final answer
    x = 153.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.