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Finding the Fourth Proportional to 140.60, 210.90 and 68.41

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Solution

The fourth proportional to 140.60, 210.90 and 68.41 is: 102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.60 : 210.90 = 68.41 : x
  2. Step 2: Convert to fraction form
    140.60/210.90 = 68.41/x
  3. Step 3: Cross multiply
    140.60x = 210.90 × 68.41
  4. Step 4: Simplify right side
    140.60x = 14,427.67
  5. Step 5: Solve for x
    x = 14,427.67/140.60
  6. Step 6: Final answer
    x = 102.62

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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.