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Finding the Fourth Proportional to 73.78, 110.67 and 31.06

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Solution

The fourth proportional to 73.78, 110.67 and 31.06 is: 46.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 110.67 = 31.06 : x
  2. Step 2: Convert to fraction form
    73.78/110.67 = 31.06/x
  3. Step 3: Cross multiply
    73.78x = 110.67 × 31.06
  4. Step 4: Simplify right side
    73.78x = 3,437.41
  5. Step 5: Solve for x
    x = 3,437.41/73.78
  6. Step 6: Final answer
    x = 46.59

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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.