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Finding the Fourth Proportional to 142.16, 213.23 and 45.97

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Solution

The fourth proportional to 142.16, 213.23 and 45.97 is: 68.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 213.23 = 45.97 : x
  2. Step 2: Convert to fraction form
    142.16/213.23 = 45.97/x
  3. Step 3: Cross multiply
    142.16x = 213.23 × 45.97
  4. Step 4: Simplify right side
    142.16x = 9,801.76
  5. Step 5: Solve for x
    x = 9,801.76/142.16
  6. Step 6: Final answer
    x = 68.95

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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.