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Finding the Fourth Proportional to 138.57, 207.86 and 66.48

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Solution

The fourth proportional to 138.57, 207.86 and 66.48 is: 99.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.57 : 207.86 = 66.48 : x
  2. Step 2: Convert to fraction form
    138.57/207.86 = 66.48/x
  3. Step 3: Cross multiply
    138.57x = 207.86 × 66.48
  4. Step 4: Simplify right side
    138.57x = 13,818.71
  5. Step 5: Solve for x
    x = 13,818.71/138.57
  6. Step 6: Final answer
    x = 99.72

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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.