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Finding the Fourth Proportional to 153.36, 230.04 and 105.12

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Solution

The fourth proportional to 153.36, 230.04 and 105.12 is: 157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.36 : 230.04 = 105.12 : x
  2. Step 2: Convert to fraction form
    153.36/230.04 = 105.12/x
  3. Step 3: Cross multiply
    153.36x = 230.04 × 105.12
  4. Step 4: Simplify right side
    153.36x = 24,181.80
  5. Step 5: Solve for x
    x = 24,181.80/153.36
  6. Step 6: Final answer
    x = 157.68

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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.