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Finding the Fourth Proportional to 75.97, 114.04 and 30.35

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Solution

The fourth proportional to 75.97, 114.04 and 30.35 is: 45.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.97 : 114.04 = 30.35 : x
  2. Step 2: Convert to fraction form
    75.97/114.04 = 30.35/x
  3. Step 3: Cross multiply
    75.97x = 114.04 × 30.35
  4. Step 4: Simplify right side
    75.97x = 3,461.05
  5. Step 5: Solve for x
    x = 3,461.05/75.97
  6. Step 6: Final answer
    x = 45.56

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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.