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Finding the Fourth Proportional to 65.04, 97.80 and 54.96

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Solution

The fourth proportional to 65.04, 97.80 and 54.96 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.04 : 97.80 = 54.96 : x
  2. Step 2: Convert to fraction form
    65.04/97.80 = 54.96/x
  3. Step 3: Cross multiply
    65.04x = 97.80 × 54.96
  4. Step 4: Simplify right side
    65.04x = 5,375.09
  5. Step 5: Solve for x
    x = 5,375.09/65.04
  6. Step 6: Final answer
    x = 82.64

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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.