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Finding the Fourth Proportional to 146.23, 201.85 and 97.10

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Solution

The fourth proportional to 146.23, 201.85 and 97.10 is: 134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 201.85 = 97.10 : x
  2. Step 2: Convert to fraction form
    146.23/201.85 = 97.10/x
  3. Step 3: Cross multiply
    146.23x = 201.85 × 97.10
  4. Step 4: Simplify right side
    146.23x = 19,599.98
  5. Step 5: Solve for x
    x = 19,599.98/146.23
  6. Step 6: Final answer
    x = 134.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.