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Finding the Fourth Proportional to 37.28, 51.47 and 22.54

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Solution

The fourth proportional to 37.28, 51.47 and 22.54 is: 31.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.28 : 51.47 = 22.54 : x
  2. Step 2: Convert to fraction form
    37.28/51.47 = 22.54/x
  3. Step 3: Cross multiply
    37.28x = 51.47 × 22.54
  4. Step 4: Simplify right side
    37.28x = 1,159.76
  5. Step 5: Solve for x
    x = 1,159.76/37.28
  6. Step 6: Final answer
    x = 31.11

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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.