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Finding the Fourth Proportional to 138.70, 207.83 and 70.16

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Solution

The fourth proportional to 138.70, 207.83 and 70.16 is: 105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.70 : 207.83 = 70.16 : x
  2. Step 2: Convert to fraction form
    138.70/207.83 = 70.16/x
  3. Step 3: Cross multiply
    138.70x = 207.83 × 70.16
  4. Step 4: Simplify right side
    138.70x = 14,580.49
  5. Step 5: Solve for x
    x = 14,580.49/138.70
  6. Step 6: Final answer
    x = 105.12

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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.