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Finding the Fourth Proportional to 46.80, 69.62 and 46.08

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Solution

The fourth proportional to 46.80, 69.62 and 46.08 is: 68.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.80 : 69.62 = 46.08 : x
  2. Step 2: Convert to fraction form
    46.80/69.62 = 46.08/x
  3. Step 3: Cross multiply
    46.80x = 69.62 × 46.08
  4. Step 4: Simplify right side
    46.80x = 3,208.09
  5. Step 5: Solve for x
    x = 3,208.09/46.80
  6. Step 6: Final answer
    x = 68.55

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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.