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Finding the Fourth Proportional to 35.92, 49.66 and 31.06

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Solution

The fourth proportional to 35.92, 49.66 and 31.06 is: 42.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.92 : 49.66 = 31.06 : x
  2. Step 2: Convert to fraction form
    35.92/49.66 = 31.06/x
  3. Step 3: Cross multiply
    35.92x = 49.66 × 31.06
  4. Step 4: Simplify right side
    35.92x = 1,542.44
  5. Step 5: Solve for x
    x = 1,542.44/35.92
  6. Step 6: Final answer
    x = 42.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.