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Finding the Fourth Proportional to 40.71, 60.77 and 36.16

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Solution

The fourth proportional to 40.71, 60.77 and 36.16 is: 53.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.71 : 60.77 = 36.16 : x
  2. Step 2: Convert to fraction form
    40.71/60.77 = 36.16/x
  3. Step 3: Cross multiply
    40.71x = 60.77 × 36.16
  4. Step 4: Simplify right side
    40.71x = 2,197.44
  5. Step 5: Solve for x
    x = 2,197.44/40.71
  6. Step 6: Final answer
    x = 53.98

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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.