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Finding the Fourth Proportional to 49.00, 67.63 and 29.34

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Solution

The fourth proportional to 49.00, 67.63 and 29.34 is: 40.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.00 : 67.63 = 29.34 : x
  2. Step 2: Convert to fraction form
    49.00/67.63 = 29.34/x
  3. Step 3: Cross multiply
    49.00x = 67.63 × 29.34
  4. Step 4: Simplify right side
    49.00x = 1,984.10
  5. Step 5: Solve for x
    x = 1,984.10/49.00
  6. Step 6: Final answer
    x = 40.49

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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.