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Finding the Fourth Proportional to 47.54, 65.56 and 37.82

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Solution

The fourth proportional to 47.54, 65.56 and 37.82 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.54 : 65.56 = 37.82 : x
  2. Step 2: Convert to fraction form
    47.54/65.56 = 37.82/x
  3. Step 3: Cross multiply
    47.54x = 65.56 × 37.82
  4. Step 4: Simplify right side
    47.54x = 2,479.48
  5. Step 5: Solve for x
    x = 2,479.48/47.54
  6. Step 6: Final answer
    x = 52.16

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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.