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Finding the Fourth Proportional to 51.81, 71.49 and 31.08

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Solution

The fourth proportional to 51.81, 71.49 and 31.08 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 71.49 = 31.08 : x
  2. Step 2: Convert to fraction form
    51.81/71.49 = 31.08/x
  3. Step 3: Cross multiply
    51.81x = 71.49 × 31.08
  4. Step 4: Simplify right side
    51.81x = 2,222.01
  5. Step 5: Solve for x
    x = 2,222.01/51.81
  6. Step 6: Final answer
    x = 42.89

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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.