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Finding the Fourth Proportional to 71.53, 107.09 and 54.48

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Solution

The fourth proportional to 71.53, 107.09 and 54.48 is: 81.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 107.09 = 54.48 : x
  2. Step 2: Convert to fraction form
    71.53/107.09 = 54.48/x
  3. Step 3: Cross multiply
    71.53x = 107.09 × 54.48
  4. Step 4: Simplify right side
    71.53x = 5,834.40
  5. Step 5: Solve for x
    x = 5,834.40/71.53
  6. Step 6: Final answer
    x = 81.57

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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.