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Finding the Fourth Proportional to 154.50, 231.75 and 106.53

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Solution

The fourth proportional to 154.50, 231.75 and 106.53 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 231.75 = 106.53 : x
  2. Step 2: Convert to fraction form
    154.50/231.75 = 106.53/x
  3. Step 3: Cross multiply
    154.50x = 231.75 × 106.53
  4. Step 4: Simplify right side
    154.50x = 24,688.33
  5. Step 5: Solve for x
    x = 24,688.33/154.50
  6. Step 6: Final answer
    x = 159.80

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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.