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Finding the Fourth Proportional to 140.35, 210.14 and 106.01

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Solution

The fourth proportional to 140.35, 210.14 and 106.01 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.35 : 210.14 = 106.01 : x
  2. Step 2: Convert to fraction form
    140.35/210.14 = 106.01/x
  3. Step 3: Cross multiply
    140.35x = 210.14 × 106.01
  4. Step 4: Simplify right side
    140.35x = 22,277.73
  5. Step 5: Solve for x
    x = 22,277.73/140.35
  6. Step 6: Final answer
    x = 158.73

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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.