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Finding the Fourth Proportional to 37.51, 51.76 and 25.09

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Solution

The fourth proportional to 37.51, 51.76 and 25.09 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.51 : 51.76 = 25.09 : x
  2. Step 2: Convert to fraction form
    37.51/51.76 = 25.09/x
  3. Step 3: Cross multiply
    37.51x = 51.76 × 25.09
  4. Step 4: Simplify right side
    37.51x = 1,298.66
  5. Step 5: Solve for x
    x = 1,298.66/37.51
  6. Step 6: Final answer
    x = 34.62

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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.