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Finding the Fourth Proportional to 69.58, 104.23 and 46.77

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Solution

The fourth proportional to 69.58, 104.23 and 46.77 is: 70.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.58 : 104.23 = 46.77 : x
  2. Step 2: Convert to fraction form
    69.58/104.23 = 46.77/x
  3. Step 3: Cross multiply
    69.58x = 104.23 × 46.77
  4. Step 4: Simplify right side
    69.58x = 4,874.84
  5. Step 5: Solve for x
    x = 4,874.84/69.58
  6. Step 6: Final answer
    x = 70.06

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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.