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Finding the Fourth Proportional to 37.01, 51.08 and 21.48

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Solution

The fourth proportional to 37.01, 51.08 and 21.48 is: 29.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.01 : 51.08 = 21.48 : x
  2. Step 2: Convert to fraction form
    37.01/51.08 = 21.48/x
  3. Step 3: Cross multiply
    37.01x = 51.08 × 21.48
  4. Step 4: Simplify right side
    37.01x = 1,097.20
  5. Step 5: Solve for x
    x = 1,097.20/37.01
  6. Step 6: Final answer
    x = 29.65

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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.