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Finding the Fourth Proportional to 82.24, 113.46 and 54.64

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Solution

The fourth proportional to 82.24, 113.46 and 54.64 is: 75.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 113.46 = 54.64 : x
  2. Step 2: Convert to fraction form
    82.24/113.46 = 54.64/x
  3. Step 3: Cross multiply
    82.24x = 113.46 × 54.64
  4. Step 4: Simplify right side
    82.24x = 6,199.45
  5. Step 5: Solve for x
    x = 6,199.45/82.24
  6. Step 6: Final answer
    x = 75.38

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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.