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Finding the Fourth Proportional to 47.23, 65.22 and 30.85

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Solution

The fourth proportional to 47.23, 65.22 and 30.85 is: 42.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.23 : 65.22 = 30.85 : x
  2. Step 2: Convert to fraction form
    47.23/65.22 = 30.85/x
  3. Step 3: Cross multiply
    47.23x = 65.22 × 30.85
  4. Step 4: Simplify right side
    47.23x = 2,012.04
  5. Step 5: Solve for x
    x = 2,012.04/47.23
  6. Step 6: Final answer
    x = 42.60

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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.