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Finding the Fourth Proportional to 154.90, 213.71 and 89.37

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Solution

The fourth proportional to 154.90, 213.71 and 89.37 is: 123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 213.71 = 89.37 : x
  2. Step 2: Convert to fraction form
    154.90/213.71 = 89.37/x
  3. Step 3: Cross multiply
    154.90x = 213.71 × 89.37
  4. Step 4: Simplify right side
    154.90x = 19,099.26
  5. Step 5: Solve for x
    x = 19,099.26/154.90
  6. Step 6: Final answer
    x = 123.30

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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.