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Finding the Fourth Proportional to 113.88, 170.73 and 97.14

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Solution

The fourth proportional to 113.88, 170.73 and 97.14 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.88 : 170.73 = 97.14 : x
  2. Step 2: Convert to fraction form
    113.88/170.73 = 97.14/x
  3. Step 3: Cross multiply
    113.88x = 170.73 × 97.14
  4. Step 4: Simplify right side
    113.88x = 16,584.71
  5. Step 5: Solve for x
    x = 16,584.71/113.88
  6. Step 6: Final answer
    x = 145.63

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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.