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Finding the Fourth Proportional to 71.53, 107.20 and 41.06

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Solution

The fourth proportional to 71.53, 107.20 and 41.06 is: 61.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 107.20 = 41.06 : x
  2. Step 2: Convert to fraction form
    71.53/107.20 = 41.06/x
  3. Step 3: Cross multiply
    71.53x = 107.20 × 41.06
  4. Step 4: Simplify right side
    71.53x = 4,400.89
  5. Step 5: Solve for x
    x = 4,400.89/71.53
  6. Step 6: Final answer
    x = 61.53

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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.