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Finding the Fourth Proportional to 46.08, 63.56 and 31.54

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Solution

The fourth proportional to 46.08, 63.56 and 31.54 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.08 : 63.56 = 31.54 : x
  2. Step 2: Convert to fraction form
    46.08/63.56 = 31.54/x
  3. Step 3: Cross multiply
    46.08x = 63.56 × 31.54
  4. Step 4: Simplify right side
    46.08x = 2,004.68
  5. Step 5: Solve for x
    x = 2,004.68/46.08
  6. Step 6: Final answer
    x = 43.50

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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.