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Finding the Fourth Proportional to 46.89, 64.64 and 31.34

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Solution

The fourth proportional to 46.89, 64.64 and 31.34 is: 43.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.89 : 64.64 = 31.34 : x
  2. Step 2: Convert to fraction form
    46.89/64.64 = 31.34/x
  3. Step 3: Cross multiply
    46.89x = 64.64 × 31.34
  4. Step 4: Simplify right side
    46.89x = 2,025.61
  5. Step 5: Solve for x
    x = 2,025.61/46.89
  6. Step 6: Final answer
    x = 43.20

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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.