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Finding the Fourth Proportional to 48.68, 66.66 and 46.64

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Solution

The fourth proportional to 48.68, 66.66 and 46.64 is: 63.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.68 : 66.66 = 46.64 : x
  2. Step 2: Convert to fraction form
    48.68/66.66 = 46.64/x
  3. Step 3: Cross multiply
    48.68x = 66.66 × 46.64
  4. Step 4: Simplify right side
    48.68x = 3,109.02
  5. Step 5: Solve for x
    x = 3,109.02/48.68
  6. Step 6: Final answer
    x = 63.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.