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Finding the Fourth Proportional to 40.54, 61.06 and 39.46

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Solution

The fourth proportional to 40.54, 61.06 and 39.46 is: 59.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.54 : 61.06 = 39.46 : x
  2. Step 2: Convert to fraction form
    40.54/61.06 = 39.46/x
  3. Step 3: Cross multiply
    40.54x = 61.06 × 39.46
  4. Step 4: Simplify right side
    40.54x = 2,409.43
  5. Step 5: Solve for x
    x = 2,409.43/40.54
  6. Step 6: Final answer
    x = 59.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.