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Finding the Fourth Proportional to 73.46, 110.16 and 25.34

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Solution

The fourth proportional to 73.46, 110.16 and 25.34 is: 38.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.46 : 110.16 = 25.34 : x
  2. Step 2: Convert to fraction form
    73.46/110.16 = 25.34/x
  3. Step 3: Cross multiply
    73.46x = 110.16 × 25.34
  4. Step 4: Simplify right side
    73.46x = 2,791.45
  5. Step 5: Solve for x
    x = 2,791.45/73.46
  6. Step 6: Final answer
    x = 38.00

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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.