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Finding the Fourth Proportional to 75.70, 113.47 and 30.00

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Solution

The fourth proportional to 75.70, 113.47 and 30.00 is: 44.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 113.47 = 30.00 : x
  2. Step 2: Convert to fraction form
    75.70/113.47 = 30.00/x
  3. Step 3: Cross multiply
    75.70x = 113.47 × 30.00
  4. Step 4: Simplify right side
    75.70x = 3,404.45
  5. Step 5: Solve for x
    x = 3,404.45/75.70
  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.