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Finding the Fourth Proportional to 138.65, 207.89 and 73.59

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Solution

The fourth proportional to 138.65, 207.89 and 73.59 is: 110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.65 : 207.89 = 73.59 : x
  2. Step 2: Convert to fraction form
    138.65/207.89 = 73.59/x
  3. Step 3: Cross multiply
    138.65x = 207.89 × 73.59
  4. Step 4: Simplify right side
    138.65x = 15,298.63
  5. Step 5: Solve for x
    x = 15,298.63/138.65
  6. Step 6: Final answer
    x = 110.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.