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Finding the Fourth Proportional to 140.02, 209.94 and 106

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Solution

The fourth proportional to 140.02, 209.94 and 106 is: 158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 209.94 = 106 : x
  2. Step 2: Convert to fraction form
    140.02/209.94 = 106/x
  3. Step 3: Cross multiply
    140.02x = 209.94 × 106
  4. Step 4: Simplify right side
    140.02x = 22,253.64
  5. Step 5: Solve for x
    x = 22,253.64/140.02
  6. Step 6: Final answer
    x = 158.93

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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.