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Finding the Fourth Proportional to 71.56, 107.09 and 45.89

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Solution

The fourth proportional to 71.56, 107.09 and 45.89 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 107.09 = 45.89 : x
  2. Step 2: Convert to fraction form
    71.56/107.09 = 45.89/x
  3. Step 3: Cross multiply
    71.56x = 107.09 × 45.89
  4. Step 4: Simplify right side
    71.56x = 4,914.13
  5. Step 5: Solve for x
    x = 4,914.13/71.56
  6. Step 6: Final answer
    x = 68.68

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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.