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Finding the Fourth Proportional to 68.58, 94.66 and 46.48

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Solution

The fourth proportional to 68.58, 94.66 and 46.48 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 94.66 = 46.48 : x
  2. Step 2: Convert to fraction form
    68.58/94.66 = 46.48/x
  3. Step 3: Cross multiply
    68.58x = 94.66 × 46.48
  4. Step 4: Simplify right side
    68.58x = 4,399.80
  5. Step 5: Solve for x
    x = 4,399.80/68.58
  6. Step 6: Final answer
    x = 64.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.