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Finding the Fourth Proportional to 42.92, 59.27 and 35.54

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Solution

The fourth proportional to 42.92, 59.27 and 35.54 is: 49.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.92 : 59.27 = 35.54 : x
  2. Step 2: Convert to fraction form
    42.92/59.27 = 35.54/x
  3. Step 3: Cross multiply
    42.92x = 59.27 × 35.54
  4. Step 4: Simplify right side
    42.92x = 2,106.35
  5. Step 5: Solve for x
    x = 2,106.35/42.92
  6. Step 6: Final answer
    x = 49.07

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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.