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Finding the Fourth Proportional to 36.63, 55.23 and 35.40

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Solution

The fourth proportional to 36.63, 55.23 and 35.40 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 55.23 = 35.40 : x
  2. Step 2: Convert to fraction form
    36.63/55.23 = 35.40/x
  3. Step 3: Cross multiply
    36.63x = 55.23 × 35.40
  4. Step 4: Simplify right side
    36.63x = 1,955.14
  5. Step 5: Solve for x
    x = 1,955.14/36.63
  6. Step 6: Final answer
    x = 53.38

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