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Finding the Fourth Proportional to 47.63, 65.75 and 31.30

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Solution

The fourth proportional to 47.63, 65.75 and 31.30 is: 43.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.63 : 65.75 = 31.30 : x
  2. Step 2: Convert to fraction form
    47.63/65.75 = 31.30/x
  3. Step 3: Cross multiply
    47.63x = 65.75 × 31.30
  4. Step 4: Simplify right side
    47.63x = 2,057.65
  5. Step 5: Solve for x
    x = 2,057.65/47.63
  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.