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Finding the Fourth Proportional to 37.04, 51.13 and 25.98

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Solution

The fourth proportional to 37.04, 51.13 and 25.98 is: 35.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.04 : 51.13 = 25.98 : x
  2. Step 2: Convert to fraction form
    37.04/51.13 = 25.98/x
  3. Step 3: Cross multiply
    37.04x = 51.13 × 25.98
  4. Step 4: Simplify right side
    37.04x = 1,328.70
  5. Step 5: Solve for x
    x = 1,328.70/37.04
  6. Step 6: Final answer
    x = 35.87

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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.