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Finding the Fourth Proportional to 138.59, 191.45 and 110.93

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Solution

The fourth proportional to 138.59, 191.45 and 110.93 is: 153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 191.45 = 110.93 : x
  2. Step 2: Convert to fraction form
    138.59/191.45 = 110.93/x
  3. Step 3: Cross multiply
    138.59x = 191.45 × 110.93
  4. Step 4: Simplify right side
    138.59x = 21,236.04
  5. Step 5: Solve for x
    x = 21,236.04/138.59
  6. Step 6: Final answer
    x = 153.23

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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.