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Finding the Fourth Proportional to 109.70, 164.34 and 105.07

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Solution

The fourth proportional to 109.70, 164.34 and 105.07 is: 157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.70 : 164.34 = 105.07 : x
  2. Step 2: Convert to fraction form
    109.70/164.34 = 105.07/x
  3. Step 3: Cross multiply
    109.70x = 164.34 × 105.07
  4. Step 4: Simplify right side
    109.70x = 17,267.20
  5. Step 5: Solve for x
    x = 17,267.20/109.70
  6. Step 6: Final answer
    x = 157.40

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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.