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Finding the Fourth Proportional to 75.67, 113.42 and 30.00

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Solution

The fourth proportional to 75.67, 113.42 and 30.00 is: 44.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 113.42 = 30.00 : x
  2. Step 2: Convert to fraction form
    75.67/113.42 = 30.00/x
  3. Step 3: Cross multiply
    75.67x = 113.42 × 30.00
  4. Step 4: Simplify right side
    75.67x = 3,402.93
  5. Step 5: Solve for x
    x = 3,402.93/75.67
  6. Step 6: Final answer
    x = 44.97

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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.