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Finding the Fourth Proportional to 107.67, 161.39 and 56.24

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Solution

The fourth proportional to 107.67, 161.39 and 56.24 is: 84.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.67 : 161.39 = 56.24 : x
  2. Step 2: Convert to fraction form
    107.67/161.39 = 56.24/x
  3. Step 3: Cross multiply
    107.67x = 161.39 × 56.24
  4. Step 4: Simplify right side
    107.67x = 9,075.49
  5. Step 5: Solve for x
    x = 9,075.49/107.67
  6. Step 6: Final answer
    x = 84.29

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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.