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Finding the Fourth Proportional to 195.54, 293.31 and 73.77

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Solution

The fourth proportional to 195.54, 293.31 and 73.77 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.54 : 293.31 = 73.77 : x
  2. Step 2: Convert to fraction form
    195.54/293.31 = 73.77/x
  3. Step 3: Cross multiply
    195.54x = 293.31 × 73.77
  4. Step 4: Simplify right side
    195.54x = 21,637.48
  5. Step 5: Solve for x
    x = 21,637.48/195.54
  6. Step 6: Final answer
    x = 110.66

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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.