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Finding the Fourth Proportional to 142.82, 214.26 and 46.64

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Solution

The fourth proportional to 142.82, 214.26 and 46.64 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 214.26 = 46.64 : x
  2. Step 2: Convert to fraction form
    142.82/214.26 = 46.64/x
  3. Step 3: Cross multiply
    142.82x = 214.26 × 46.64
  4. Step 4: Simplify right side
    142.82x = 9,993.09
  5. Step 5: Solve for x
    x = 9,993.09/142.82
  6. Step 6: Final answer
    x = 69.97

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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.