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Finding the Fourth Proportional to 46.38, 69.54 and 22.32

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Solution

The fourth proportional to 46.38, 69.54 and 22.32 is: 33.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.38 : 69.54 = 22.32 : x
  2. Step 2: Convert to fraction form
    46.38/69.54 = 22.32/x
  3. Step 3: Cross multiply
    46.38x = 69.54 × 22.32
  4. Step 4: Simplify right side
    46.38x = 1,552.13
  5. Step 5: Solve for x
    x = 1,552.13/46.38
  6. Step 6: Final answer
    x = 33.47

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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.