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Finding the Fourth Proportional to 46.52, 64.14 and 34.25

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Solution

The fourth proportional to 46.52, 64.14 and 34.25 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.52 : 64.14 = 34.25 : x
  2. Step 2: Convert to fraction form
    46.52/64.14 = 34.25/x
  3. Step 3: Cross multiply
    46.52x = 64.14 × 34.25
  4. Step 4: Simplify right side
    46.52x = 2,196.47
  5. Step 5: Solve for x
    x = 2,196.47/46.52
  6. Step 6: Final answer
    x = 47.22

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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.