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Finding the Fourth Proportional to 36.79, 50.71 and 29.00

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Solution

The fourth proportional to 36.79, 50.71 and 29.00 is: 39.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.79 : 50.71 = 29.00 : x
  2. Step 2: Convert to fraction form
    36.79/50.71 = 29.00/x
  3. Step 3: Cross multiply
    36.79x = 50.71 × 29.00
  4. Step 4: Simplify right side
    36.79x = 1,470.79
  5. Step 5: Solve for x
    x = 1,470.79/36.79
  6. Step 6: Final answer
    x = 39.98

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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.