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Finding the Fourth Proportional to 97.21, 146.39 and 70.35

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Solution

The fourth proportional to 97.21, 146.39 and 70.35 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.21 : 146.39 = 70.35 : x
  2. Step 2: Convert to fraction form
    97.21/146.39 = 70.35/x
  3. Step 3: Cross multiply
    97.21x = 146.39 × 70.35
  4. Step 4: Simplify right side
    97.21x = 10,297.80
  5. Step 5: Solve for x
    x = 10,297.80/97.21
  6. Step 6: Final answer
    x = 105.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.