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Finding the Fourth Proportional to 35.82, 49.37 and 31.70

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Solution

The fourth proportional to 35.82, 49.37 and 31.70 is: 43.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 49.37 = 31.70 : x
  2. Step 2: Convert to fraction form
    35.82/49.37 = 31.70/x
  3. Step 3: Cross multiply
    35.82x = 49.37 × 31.70
  4. Step 4: Simplify right side
    35.82x = 1,564.62
  5. Step 5: Solve for x
    x = 1,564.62/35.82
  6. Step 6: Final answer
    x = 43.68

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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.