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Finding the Fourth Proportional to 138.10, 207.06 and 46.78

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Solution

The fourth proportional to 138.10, 207.06 and 46.78 is: 70.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 207.06 = 46.78 : x
  2. Step 2: Convert to fraction form
    138.10/207.06 = 46.78/x
  3. Step 3: Cross multiply
    138.10x = 207.06 × 46.78
  4. Step 4: Simplify right side
    138.10x = 9,686.27
  5. Step 5: Solve for x
    x = 9,686.27/138.10
  6. Step 6: Final answer
    x = 70.14

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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.