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Finding the Fourth Proportional to 109.68, 164.60 and 106.08

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Solution

The fourth proportional to 109.68, 164.60 and 106.08 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 164.60 = 106.08 : x
  2. Step 2: Convert to fraction form
    109.68/164.60 = 106.08/x
  3. Step 3: Cross multiply
    109.68x = 164.60 × 106.08
  4. Step 4: Simplify right side
    109.68x = 17,460.77
  5. Step 5: Solve for x
    x = 17,460.77/109.68
  6. Step 6: Final answer
    x = 159.20

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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.