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Finding the Fourth Proportional to 47.61, 65.74 and 37.23

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Solution

The fourth proportional to 47.61, 65.74 and 37.23 is: 51.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.61 : 65.74 = 37.23 : x
  2. Step 2: Convert to fraction form
    47.61/65.74 = 37.23/x
  3. Step 3: Cross multiply
    47.61x = 65.74 × 37.23
  4. Step 4: Simplify right side
    47.61x = 2,447.89
  5. Step 5: Solve for x
    x = 2,447.89/47.61
  6. Step 6: Final answer
    x = 51.41

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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.