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Finding the Fourth Proportional to 71.90, 107.86 and 31.33

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Solution

The fourth proportional to 71.90, 107.86 and 31.33 is: 47.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.90 : 107.86 = 31.33 : x
  2. Step 2: Convert to fraction form
    71.90/107.86 = 31.33/x
  3. Step 3: Cross multiply
    71.90x = 107.86 × 31.33
  4. Step 4: Simplify right side
    71.90x = 3,379.25
  5. Step 5: Solve for x
    x = 3,379.25/71.90
  6. Step 6: Final answer
    x = 47.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.