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Finding the Fourth Proportional to 82.25, 113.43 and 54.64

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Solution

The fourth proportional to 82.25, 113.43 and 54.64 is: 75.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 113.43 = 54.64 : x
  2. Step 2: Convert to fraction form
    82.25/113.43 = 54.64/x
  3. Step 3: Cross multiply
    82.25x = 113.43 × 54.64
  4. Step 4: Simplify right side
    82.25x = 6,197.82
  5. Step 5: Solve for x
    x = 6,197.82/82.25
  6. Step 6: Final answer
    x = 75.35

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Why These Related Problems?

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