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Finding the Fourth Proportional to 46.34, 69.10 and 41.18

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Solution

The fourth proportional to 46.34, 69.10 and 41.18 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.34 : 69.10 = 41.18 : x
  2. Step 2: Convert to fraction form
    46.34/69.10 = 41.18/x
  3. Step 3: Cross multiply
    46.34x = 69.10 × 41.18
  4. Step 4: Simplify right side
    46.34x = 2,845.54
  5. Step 5: Solve for x
    x = 2,845.54/46.34
  6. Step 6: Final answer
    x = 61.41

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