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Finding the Fourth Proportional to 154.31, 231.60 and 106.25

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Solution

The fourth proportional to 154.31, 231.60 and 106.25 is: 159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 231.60 = 106.25 : x
  2. Step 2: Convert to fraction form
    154.31/231.60 = 106.25/x
  3. Step 3: Cross multiply
    154.31x = 231.60 × 106.25
  4. Step 4: Simplify right side
    154.31x = 24,607.50
  5. Step 5: Solve for x
    x = 24,607.50/154.31
  6. Step 6: Final answer
    x = 159.47

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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.