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Finding the Fourth Proportional to 65.77, 98.53 and 36.84

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Solution

The fourth proportional to 65.77, 98.53 and 36.84 is: 55.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.77 : 98.53 = 36.84 : x
  2. Step 2: Convert to fraction form
    65.77/98.53 = 36.84/x
  3. Step 3: Cross multiply
    65.77x = 98.53 × 36.84
  4. Step 4: Simplify right side
    65.77x = 3,630.12
  5. Step 5: Solve for x
    x = 3,630.12/65.77
  6. Step 6: Final answer
    x = 55.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.