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Finding the Fourth Proportional to 153.45, 230.21 and 45.24

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Solution

The fourth proportional to 153.45, 230.21 and 45.24 is: 67.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.45 : 230.21 = 45.24 : x
  2. Step 2: Convert to fraction form
    153.45/230.21 = 45.24/x
  3. Step 3: Cross multiply
    153.45x = 230.21 × 45.24
  4. Step 4: Simplify right side
    153.45x = 10,414.47
  5. Step 5: Solve for x
    x = 10,414.47/153.45
  6. Step 6: Final answer
    x = 67.87

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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.