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Finding the Fourth Proportional to 119.53, 164.59 and 111.57

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Solution

The fourth proportional to 119.53, 164.59 and 111.57 is: 153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.53 : 164.59 = 111.57 : x
  2. Step 2: Convert to fraction form
    119.53/164.59 = 111.57/x
  3. Step 3: Cross multiply
    119.53x = 164.59 × 111.57
  4. Step 4: Simplify right side
    119.53x = 18,363.31
  5. Step 5: Solve for x
    x = 18,363.31/119.53
  6. Step 6: Final answer
    x = 153.63

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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.