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Finding the Fourth Proportional to 40.06, 59.77 and 36.42

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Solution

The fourth proportional to 40.06, 59.77 and 36.42 is: 54.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.06 : 59.77 = 36.42 : x
  2. Step 2: Convert to fraction form
    40.06/59.77 = 36.42/x
  3. Step 3: Cross multiply
    40.06x = 59.77 × 36.42
  4. Step 4: Simplify right side
    40.06x = 2,176.82
  5. Step 5: Solve for x
    x = 2,176.82/40.06
  6. Step 6: Final answer
    x = 54.34

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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.