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Finding the Fourth Proportional to 107.90, 161.44 and 64.59

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Solution

The fourth proportional to 107.90, 161.44 and 64.59 is: 96.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.90 : 161.44 = 64.59 : x
  2. Step 2: Convert to fraction form
    107.90/161.44 = 64.59/x
  3. Step 3: Cross multiply
    107.90x = 161.44 × 64.59
  4. Step 4: Simplify right side
    107.90x = 10,427.41
  5. Step 5: Solve for x
    x = 10,427.41/107.90
  6. Step 6: Final answer
    x = 96.64

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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.