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Finding the Fourth Proportional to 142.71, 213.86 and 65.66

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Solution

The fourth proportional to 142.71, 213.86 and 65.66 is: 98.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.86 = 65.66 : x
  2. Step 2: Convert to fraction form
    142.71/213.86 = 65.66/x
  3. Step 3: Cross multiply
    142.71x = 213.86 × 65.66
  4. Step 4: Simplify right side
    142.71x = 14,040.65
  5. Step 5: Solve for x
    x = 14,040.65/142.71
  6. Step 6: Final answer
    x = 98.39

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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.