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Finding the Fourth Proportional to 51.90, 71.63 and 31.19

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Solution

The fourth proportional to 51.90, 71.63 and 31.19 is: 43.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 71.63 = 31.19 : x
  2. Step 2: Convert to fraction form
    51.90/71.63 = 31.19/x
  3. Step 3: Cross multiply
    51.90x = 71.63 × 31.19
  4. Step 4: Simplify right side
    51.90x = 2,233.98
  5. Step 5: Solve for x
    x = 2,233.98/51.90
  6. Step 6: Final answer
    x = 43.05

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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.