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Finding the Fourth Proportional to 71.24, 106.64 and 54.96

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Solution

The fourth proportional to 71.24, 106.64 and 54.96 is: 82.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 106.64 = 54.96 : x
  2. Step 2: Convert to fraction form
    71.24/106.64 = 54.96/x
  3. Step 3: Cross multiply
    71.24x = 106.64 × 54.96
  4. Step 4: Simplify right side
    71.24x = 5,860.66
  5. Step 5: Solve for x
    x = 5,860.66/71.24
  6. Step 6: Final answer
    x = 82.27

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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.