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Finding the Fourth Proportional to 110.64, 164.84 and 105.48

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Solution

The fourth proportional to 110.64, 164.84 and 105.48 is: 157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 164.84 = 105.48 : x
  2. Step 2: Convert to fraction form
    110.64/164.84 = 105.48/x
  3. Step 3: Cross multiply
    110.64x = 164.84 × 105.48
  4. Step 4: Simplify right side
    110.64x = 17,387.32
  5. Step 5: Solve for x
    x = 17,387.32/110.64
  6. Step 6: Final answer
    x = 157.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.