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Finding the Fourth Proportional to 37.40, 51.62 and 29.21

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Solution

The fourth proportional to 37.40, 51.62 and 29.21 is: 40.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.40 : 51.62 = 29.21 : x
  2. Step 2: Convert to fraction form
    37.40/51.62 = 29.21/x
  3. Step 3: Cross multiply
    37.40x = 51.62 × 29.21
  4. Step 4: Simplify right side
    37.40x = 1,507.42
  5. Step 5: Solve for x
    x = 1,507.42/37.40
  6. Step 6: Final answer
    x = 40.31

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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.