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Finding the Fourth Proportional to 138.06, 206.96 and 46.71

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Solution

The fourth proportional to 138.06, 206.96 and 46.71 is: 70.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 206.96 = 46.71 : x
  2. Step 2: Convert to fraction form
    138.06/206.96 = 46.71/x
  3. Step 3: Cross multiply
    138.06x = 206.96 × 46.71
  4. Step 4: Simplify right side
    138.06x = 9,666.87
  5. Step 5: Solve for x
    x = 9,666.87/138.06
  6. Step 6: Final answer
    x = 70.02

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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.