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Finding the Fourth Proportional to 46.64, 64.33 and 31.07

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Solution

The fourth proportional to 46.64, 64.33 and 31.07 is: 42.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.64 : 64.33 = 31.07 : x
  2. Step 2: Convert to fraction form
    46.64/64.33 = 31.07/x
  3. Step 3: Cross multiply
    46.64x = 64.33 × 31.07
  4. Step 4: Simplify right side
    46.64x = 1,998.73
  5. Step 5: Solve for x
    x = 1,998.73/46.64
  6. Step 6: Final answer
    x = 42.85

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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.