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Finding the Fourth Proportional to 106.13, 159.37 and 85.64

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Solution

The fourth proportional to 106.13, 159.37 and 85.64 is: 128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 159.37 = 85.64 : x
  2. Step 2: Convert to fraction form
    106.13/159.37 = 85.64/x
  3. Step 3: Cross multiply
    106.13x = 159.37 × 85.64
  4. Step 4: Simplify right side
    106.13x = 13,647.44
  5. Step 5: Solve for x
    x = 13,647.44/106.13
  6. Step 6: Final answer
    x = 128.59

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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.