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Finding the Fourth Proportional to 46.66, 64.33 and 35.73

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Solution

The fourth proportional to 46.66, 64.33 and 35.73 is: 49.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.66 : 64.33 = 35.73 : x
  2. Step 2: Convert to fraction form
    46.66/64.33 = 35.73/x
  3. Step 3: Cross multiply
    46.66x = 64.33 × 35.73
  4. Step 4: Simplify right side
    46.66x = 2,298.51
  5. Step 5: Solve for x
    x = 2,298.51/46.66
  6. Step 6: Final answer
    x = 49.26

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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.