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Finding the Fourth Proportional to 46.63, 64.30 and 31.06

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Solution

The fourth proportional to 46.63, 64.30 and 31.06 is: 42.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 64.30 = 31.06 : x
  2. Step 2: Convert to fraction form
    46.63/64.30 = 31.06/x
  3. Step 3: Cross multiply
    46.63x = 64.30 × 31.06
  4. Step 4: Simplify right side
    46.63x = 1,997.16
  5. Step 5: Solve for x
    x = 1,997.16/46.63
  6. Step 6: Final answer
    x = 42.83

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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.