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Finding the Fourth Proportional to 37.29, 51.37 and 29.10

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Solution

The fourth proportional to 37.29, 51.37 and 29.10 is: 40.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.29 : 51.37 = 29.10 : x
  2. Step 2: Convert to fraction form
    37.29/51.37 = 29.10/x
  3. Step 3: Cross multiply
    37.29x = 51.37 × 29.10
  4. Step 4: Simplify right side
    37.29x = 1,494.87
  5. Step 5: Solve for x
    x = 1,494.87/37.29
  6. Step 6: Final answer
    x = 40.09

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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.