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Finding the Fourth Proportional to 47.23, 65.19 and 37.54

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Solution

The fourth proportional to 47.23, 65.19 and 37.54 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.23 : 65.19 = 37.54 : x
  2. Step 2: Convert to fraction form
    47.23/65.19 = 37.54/x
  3. Step 3: Cross multiply
    47.23x = 65.19 × 37.54
  4. Step 4: Simplify right side
    47.23x = 2,447.23
  5. Step 5: Solve for x
    x = 2,447.23/47.23
  6. Step 6: Final answer
    x = 51.82

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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.