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Finding the Fourth Proportional to 46.75, 69.84 and 39.06

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Solution

The fourth proportional to 46.75, 69.84 and 39.06 is: 58.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 69.84 = 39.06 : x
  2. Step 2: Convert to fraction form
    46.75/69.84 = 39.06/x
  3. Step 3: Cross multiply
    46.75x = 69.84 × 39.06
  4. Step 4: Simplify right side
    46.75x = 2,727.99
  5. Step 5: Solve for x
    x = 2,727.99/46.75
  6. Step 6: Final answer
    x = 58.35

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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.