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Finding the Fourth Proportional to 46.32, 69.54 and 33.54

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Solution

The fourth proportional to 46.32, 69.54 and 33.54 is: 50.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 69.54 = 33.54 : x
  2. Step 2: Convert to fraction form
    46.32/69.54 = 33.54/x
  3. Step 3: Cross multiply
    46.32x = 69.54 × 33.54
  4. Step 4: Simplify right side
    46.32x = 2,332.37
  5. Step 5: Solve for x
    x = 2,332.37/46.32
  6. Step 6: Final answer
    x = 50.35

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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.