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Finding the Fourth Proportional to 138.34, 191.07 and 94.60

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Solution

The fourth proportional to 138.34, 191.07 and 94.60 is: 130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 191.07 = 94.60 : x
  2. Step 2: Convert to fraction form
    138.34/191.07 = 94.60/x
  3. Step 3: Cross multiply
    138.34x = 191.07 × 94.60
  4. Step 4: Simplify right side
    138.34x = 18,075.22
  5. Step 5: Solve for x
    x = 18,075.22/138.34
  6. Step 6: Final answer
    x = 130.66

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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.