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Finding the Fourth Proportional to 72.64, 108.96 and 54.82

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Solution

The fourth proportional to 72.64, 108.96 and 54.82 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 108.96 = 54.82 : x
  2. Step 2: Convert to fraction form
    72.64/108.96 = 54.82/x
  3. Step 3: Cross multiply
    72.64x = 108.96 × 54.82
  4. Step 4: Simplify right side
    72.64x = 5,973.19
  5. Step 5: Solve for x
    x = 5,973.19/72.64
  6. Step 6: Final answer
    x = 82.23

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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.