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Finding the Fourth Proportional to 51.94, 71.70 and 31.23

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Solution

The fourth proportional to 51.94, 71.70 and 31.23 is: 43.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 71.70 = 31.23 : x
  2. Step 2: Convert to fraction form
    51.94/71.70 = 31.23/x
  3. Step 3: Cross multiply
    51.94x = 71.70 × 31.23
  4. Step 4: Simplify right side
    51.94x = 2,239.19
  5. Step 5: Solve for x
    x = 2,239.19/51.94
  6. Step 6: Final answer
    x = 43.11

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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.