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Finding the Fourth Proportional to 107.68, 161.47 and 39.19

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Solution

The fourth proportional to 107.68, 161.47 and 39.19 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.68 : 161.47 = 39.19 : x
  2. Step 2: Convert to fraction form
    107.68/161.47 = 39.19/x
  3. Step 3: Cross multiply
    107.68x = 161.47 × 39.19
  4. Step 4: Simplify right side
    107.68x = 6,328.01
  5. Step 5: Solve for x
    x = 6,328.01/107.68
  6. Step 6: Final answer
    x = 58.77

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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.