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Finding the Fourth Proportional to 46.32, 69 and 44.12

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Solution

The fourth proportional to 46.32, 69 and 44.12 is: 65.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 69 = 44.12 : x
  2. Step 2: Convert to fraction form
    46.32/69 = 44.12/x
  3. Step 3: Cross multiply
    46.32x = 69 × 44.12
  4. Step 4: Simplify right side
    46.32x = 3,044.28
  5. Step 5: Solve for x
    x = 3,044.28/46.32
  6. Step 6: Final answer
    x = 65.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.