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Finding the Fourth Proportional to 35.86, 49.45 and 32.22

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Solution

The fourth proportional to 35.86, 49.45 and 32.22 is: 44.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.86 : 49.45 = 32.22 : x
  2. Step 2: Convert to fraction form
    35.86/49.45 = 32.22/x
  3. Step 3: Cross multiply
    35.86x = 49.45 × 32.22
  4. Step 4: Simplify right side
    35.86x = 1,593.28
  5. Step 5: Solve for x
    x = 1,593.28/35.86
  6. Step 6: Final answer
    x = 44.43

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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.