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Finding the Fourth Proportional to 146.84, 202.68 and 103.10

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Solution

The fourth proportional to 146.84, 202.68 and 103.10 is: 142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 202.68 = 103.10 : x
  2. Step 2: Convert to fraction form
    146.84/202.68 = 103.10/x
  3. Step 3: Cross multiply
    146.84x = 202.68 × 103.10
  4. Step 4: Simplify right side
    146.84x = 20,896.31
  5. Step 5: Solve for x
    x = 20,896.31/146.84
  6. Step 6: Final answer
    x = 142.31

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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.