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Finding the Fourth Proportional to 107.81, 161.58 and 56.37

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Solution

The fourth proportional to 107.81, 161.58 and 56.37 is: 84.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.81 : 161.58 = 56.37 : x
  2. Step 2: Convert to fraction form
    107.81/161.58 = 56.37/x
  3. Step 3: Cross multiply
    107.81x = 161.58 × 56.37
  4. Step 4: Simplify right side
    107.81x = 9,108.26
  5. Step 5: Solve for x
    x = 9,108.26/107.81
  6. Step 6: Final answer
    x = 84.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.