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Finding the Fourth Proportional to 154.94, 232.40 and 52.23

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Solution

The fourth proportional to 154.94, 232.40 and 52.23 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.94 : 232.40 = 52.23 : x
  2. Step 2: Convert to fraction form
    154.94/232.40 = 52.23/x
  3. Step 3: Cross multiply
    154.94x = 232.40 × 52.23
  4. Step 4: Simplify right side
    154.94x = 12,137.99
  5. Step 5: Solve for x
    x = 12,137.99/154.94
  6. Step 6: Final answer
    x = 78.34

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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.