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Finding the Fourth Proportional to 51.99, 71.74 and 31.26

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Solution

The fourth proportional to 51.99, 71.74 and 31.26 is: 43.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 71.74 = 31.26 : x
  2. Step 2: Convert to fraction form
    51.99/71.74 = 31.26/x
  3. Step 3: Cross multiply
    51.99x = 71.74 × 31.26
  4. Step 4: Simplify right side
    51.99x = 2,242.30
  5. Step 5: Solve for x
    x = 2,242.30/51.99
  6. Step 6: Final answer
    x = 43.13

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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.