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Finding the Fourth Proportional to 119.36, 164.86 and 110.46

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Solution

The fourth proportional to 119.36, 164.86 and 110.46 is: 152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.36 : 164.86 = 110.46 : x
  2. Step 2: Convert to fraction form
    119.36/164.86 = 110.46/x
  3. Step 3: Cross multiply
    119.36x = 164.86 × 110.46
  4. Step 4: Simplify right side
    119.36x = 18,210.44
  5. Step 5: Solve for x
    x = 18,210.44/119.36
  6. Step 6: Final answer
    x = 152.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.