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Finding the Fourth Proportional to 138.60, 207.74 and 57.42

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Solution

The fourth proportional to 138.60, 207.74 and 57.42 is: 86.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 207.74 = 57.42 : x
  2. Step 2: Convert to fraction form
    138.60/207.74 = 57.42/x
  3. Step 3: Cross multiply
    138.60x = 207.74 × 57.42
  4. Step 4: Simplify right side
    138.60x = 11,928.14
  5. Step 5: Solve for x
    x = 11,928.14/138.60
  6. Step 6: Final answer
    x = 86.06

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Why These Related Problems?

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