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Finding the Fourth Proportional to 46.39, 64.02 and 27

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Solution

The fourth proportional to 46.39, 64.02 and 27 is: 37.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.39 : 64.02 = 27 : x
  2. Step 2: Convert to fraction form
    46.39/64.02 = 27/x
  3. Step 3: Cross multiply
    46.39x = 64.02 × 27
  4. Step 4: Simplify right side
    46.39x = 1,728.54
  5. Step 5: Solve for x
    x = 1,728.54/46.39
  6. Step 6: Final answer
    x = 37.26

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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.