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Finding the Fourth Proportional to 73.95, 110.81 and 53.66

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Solution

The fourth proportional to 73.95, 110.81 and 53.66 is: 80.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.95 : 110.81 = 53.66 : x
  2. Step 2: Convert to fraction form
    73.95/110.81 = 53.66/x
  3. Step 3: Cross multiply
    73.95x = 110.81 × 53.66
  4. Step 4: Simplify right side
    73.95x = 5,945.24
  5. Step 5: Solve for x
    x = 5,945.24/73.95
  6. Step 6: Final answer
    x = 80.40

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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.