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Finding the Fourth Proportional to 35.89, 49.23 and 32.85

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Solution

The fourth proportional to 35.89, 49.23 and 32.85 is: 45.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.89 : 49.23 = 32.85 : x
  2. Step 2: Convert to fraction form
    35.89/49.23 = 32.85/x
  3. Step 3: Cross multiply
    35.89x = 49.23 × 32.85
  4. Step 4: Simplify right side
    35.89x = 1,617.21
  5. Step 5: Solve for x
    x = 1,617.21/35.89
  6. Step 6: Final answer
    x = 45.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.