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Finding the Fourth Proportional to 40.21, 55.52 and 36.77

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Solution

The fourth proportional to 40.21, 55.52 and 36.77 is: 50.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.21 : 55.52 = 36.77 : x
  2. Step 2: Convert to fraction form
    40.21/55.52 = 36.77/x
  3. Step 3: Cross multiply
    40.21x = 55.52 × 36.77
  4. Step 4: Simplify right side
    40.21x = 2,041.46
  5. Step 5: Solve for x
    x = 2,041.46/40.21
  6. Step 6: Final answer
    x = 50.77

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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.