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Finding the Fourth Proportional to 153.46, 229.74 and 105.22

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Solution

The fourth proportional to 153.46, 229.74 and 105.22 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.46 : 229.74 = 105.22 : x
  2. Step 2: Convert to fraction form
    153.46/229.74 = 105.22/x
  3. Step 3: Cross multiply
    153.46x = 229.74 × 105.22
  4. Step 4: Simplify right side
    153.46x = 24,173.24
  5. Step 5: Solve for x
    x = 24,173.24/153.46
  6. Step 6: Final answer
    x = 157.52

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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.