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Finding the Fourth Proportional to 49.57, 68.34 and 35.72

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Solution

The fourth proportional to 49.57, 68.34 and 35.72 is: 49.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.57 : 68.34 = 35.72 : x
  2. Step 2: Convert to fraction form
    49.57/68.34 = 35.72/x
  3. Step 3: Cross multiply
    49.57x = 68.34 × 35.72
  4. Step 4: Simplify right side
    49.57x = 2,441.10
  5. Step 5: Solve for x
    x = 2,441.10/49.57
  6. Step 6: Final answer
    x = 49.25

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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.