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Finding the Fourth Proportional to 46.67, 64.35 and 34.36

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Solution

The fourth proportional to 46.67, 64.35 and 34.36 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.67 : 64.35 = 34.36 : x
  2. Step 2: Convert to fraction form
    46.67/64.35 = 34.36/x
  3. Step 3: Cross multiply
    46.67x = 64.35 × 34.36
  4. Step 4: Simplify right side
    46.67x = 2,211.07
  5. Step 5: Solve for x
    x = 2,211.07/46.67
  6. Step 6: Final answer
    x = 47.38

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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.