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Finding the Fourth Proportional to 107.64, 161.16 and 85.77

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Solution

The fourth proportional to 107.64, 161.16 and 85.77 is: 128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 161.16 = 85.77 : x
  2. Step 2: Convert to fraction form
    107.64/161.16 = 85.77/x
  3. Step 3: Cross multiply
    107.64x = 161.16 × 85.77
  4. Step 4: Simplify right side
    107.64x = 13,822.37
  5. Step 5: Solve for x
    x = 13,822.37/107.64
  6. Step 6: Final answer
    x = 128.41

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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.