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Finding the Fourth Proportional to 46.45, 69.72 and 29.35

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Solution

The fourth proportional to 46.45, 69.72 and 29.35 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 69.72 = 29.35 : x
  2. Step 2: Convert to fraction form
    46.45/69.72 = 29.35/x
  3. Step 3: Cross multiply
    46.45x = 69.72 × 29.35
  4. Step 4: Simplify right side
    46.45x = 2,046.28
  5. Step 5: Solve for x
    x = 2,046.28/46.45
  6. Step 6: Final answer
    x = 44.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.