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Finding the Fourth Proportional to 65.73, 90.72 and 36.63

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Solution

The fourth proportional to 65.73, 90.72 and 36.63 is: 50.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.73 : 90.72 = 36.63 : x
  2. Step 2: Convert to fraction form
    65.73/90.72 = 36.63/x
  3. Step 3: Cross multiply
    65.73x = 90.72 × 36.63
  4. Step 4: Simplify right side
    65.73x = 3,323.07
  5. Step 5: Solve for x
    x = 3,323.07/65.73
  6. Step 6: Final answer
    x = 50.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.