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Finding the Fourth Proportional to 46.75, 69.77 and 43.06

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Solution

The fourth proportional to 46.75, 69.77 and 43.06 is: 64.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 69.77 = 43.06 : x
  2. Step 2: Convert to fraction form
    46.75/69.77 = 43.06/x
  3. Step 3: Cross multiply
    46.75x = 69.77 × 43.06
  4. Step 4: Simplify right side
    46.75x = 3,004.30
  5. Step 5: Solve for x
    x = 3,004.30/46.75
  6. Step 6: Final answer
    x = 64.26

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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.