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Finding the Fourth Proportional to 46.75, 64.53 and 27.34

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Solution

The fourth proportional to 46.75, 64.53 and 27.34 is: 37.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 64.53 = 27.34 : x
  2. Step 2: Convert to fraction form
    46.75/64.53 = 27.34/x
  3. Step 3: Cross multiply
    46.75x = 64.53 × 27.34
  4. Step 4: Simplify right side
    46.75x = 1,764.25
  5. Step 5: Solve for x
    x = 1,764.25/46.75
  6. Step 6: Final answer
    x = 37.74

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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.