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Finding the Fourth Proportional to 38.92, 58.01 and 35.50

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Solution

The fourth proportional to 38.92, 58.01 and 35.50 is: 52.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.92 : 58.01 = 35.50 : x
  2. Step 2: Convert to fraction form
    38.92/58.01 = 35.50/x
  3. Step 3: Cross multiply
    38.92x = 58.01 × 35.50
  4. Step 4: Simplify right side
    38.92x = 2,059.36
  5. Step 5: Solve for x
    x = 2,059.36/38.92
  6. Step 6: Final answer
    x = 52.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.