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Finding the Fourth Proportional to 142.50, 213.77 and 46.31

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Solution

The fourth proportional to 142.50, 213.77 and 46.31 is: 69.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 213.77 = 46.31 : x
  2. Step 2: Convert to fraction form
    142.50/213.77 = 46.31/x
  3. Step 3: Cross multiply
    142.50x = 213.77 × 46.31
  4. Step 4: Simplify right side
    142.50x = 9,899.99
  5. Step 5: Solve for x
    x = 9,899.99/142.50
  6. Step 6: Final answer
    x = 69.47

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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.