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Finding the Fourth Proportional to 65.53, 98.16 and 36.64

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Solution

The fourth proportional to 65.53, 98.16 and 36.64 is: 54.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.16 = 36.64 : x
  2. Step 2: Convert to fraction form
    65.53/98.16 = 36.64/x
  3. Step 3: Cross multiply
    65.53x = 98.16 × 36.64
  4. Step 4: Simplify right side
    65.53x = 3,596.58
  5. Step 5: Solve for x
    x = 3,596.58/65.53
  6. Step 6: Final answer
    x = 54.88

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Why These Related Problems?

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