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Finding the Fourth Proportional to 46.68, 64.41 and 27.01

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Solution

The fourth proportional to 46.68, 64.41 and 27.01 is: 37.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.68 : 64.41 = 27.01 : x
  2. Step 2: Convert to fraction form
    46.68/64.41 = 27.01/x
  3. Step 3: Cross multiply
    46.68x = 64.41 × 27.01
  4. Step 4: Simplify right side
    46.68x = 1,739.66
  5. Step 5: Solve for x
    x = 1,739.66/46.68
  6. Step 6: Final answer
    x = 37.27

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Why These Related Problems?

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