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Finding the Fourth Proportional to 138.80, 191.59 and 102.15

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Solution

The fourth proportional to 138.80, 191.59 and 102.15 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.80 : 191.59 = 102.15 : x
  2. Step 2: Convert to fraction form
    138.80/191.59 = 102.15/x
  3. Step 3: Cross multiply
    138.80x = 191.59 × 102.15
  4. Step 4: Simplify right side
    138.80x = 19,570.92
  5. Step 5: Solve for x
    x = 19,570.92/138.80
  6. Step 6: Final answer
    x = 141.00

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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.