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Finding the Fourth Proportional to 36.60, 54.63 and 34.32

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Solution

The fourth proportional to 36.60, 54.63 and 34.32 is: 51.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.60 : 54.63 = 34.32 : x
  2. Step 2: Convert to fraction form
    36.60/54.63 = 34.32/x
  3. Step 3: Cross multiply
    36.60x = 54.63 × 34.32
  4. Step 4: Simplify right side
    36.60x = 1,874.90
  5. Step 5: Solve for x
    x = 1,874.90/36.60
  6. Step 6: Final answer
    x = 51.23

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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.