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Finding the Fourth Proportional to 35.67, 49.06 and 31.07

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Solution

The fourth proportional to 35.67, 49.06 and 31.07 is: 42.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.67 : 49.06 = 31.07 : x
  2. Step 2: Convert to fraction form
    35.67/49.06 = 31.07/x
  3. Step 3: Cross multiply
    35.67x = 49.06 × 31.07
  4. Step 4: Simplify right side
    35.67x = 1,524.46
  5. Step 5: Solve for x
    x = 1,524.46/35.67
  6. Step 6: Final answer
    x = 42.73

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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.