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Finding the Fourth Proportional to 140.67, 210.69 and 86.49

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Solution

The fourth proportional to 140.67, 210.69 and 86.49 is: 129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.67 : 210.69 = 86.49 : x
  2. Step 2: Convert to fraction form
    140.67/210.69 = 86.49/x
  3. Step 3: Cross multiply
    140.67x = 210.69 × 86.49
  4. Step 4: Simplify right side
    140.67x = 18,222.58
  5. Step 5: Solve for x
    x = 18,222.58/140.67
  6. Step 6: Final answer
    x = 129.54

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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.