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Finding the Fourth Proportional to 46.48, 64.13 and 27.07

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Solution

The fourth proportional to 46.48, 64.13 and 27.07 is: 37.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.48 : 64.13 = 27.07 : x
  2. Step 2: Convert to fraction form
    46.48/64.13 = 27.07/x
  3. Step 3: Cross multiply
    46.48x = 64.13 × 27.07
  4. Step 4: Simplify right side
    46.48x = 1,735.54
  5. Step 5: Solve for x
    x = 1,735.54/46.48
  6. Step 6: Final answer
    x = 37.34

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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.