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Finding the Fourth Proportional to 37.71, 51.99 and 29.51

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Solution

The fourth proportional to 37.71, 51.99 and 29.51 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.71 : 51.99 = 29.51 : x
  2. Step 2: Convert to fraction form
    37.71/51.99 = 29.51/x
  3. Step 3: Cross multiply
    37.71x = 51.99 × 29.51
  4. Step 4: Simplify right side
    37.71x = 1,534.22
  5. Step 5: Solve for x
    x = 1,534.22/37.71
  6. Step 6: Final answer
    x = 40.68

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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.