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Finding the Fourth Proportional to 105.40, 158.14 and 96.97

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Solution

The fourth proportional to 105.40, 158.14 and 96.97 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 158.14 = 96.97 : x
  2. Step 2: Convert to fraction form
    105.40/158.14 = 96.97/x
  3. Step 3: Cross multiply
    105.40x = 158.14 × 96.97
  4. Step 4: Simplify right side
    105.40x = 15,334.31
  5. Step 5: Solve for x
    x = 15,334.31/105.40
  6. Step 6: Final answer
    x = 145.49

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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.