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Finding the Fourth Proportional to 146.98, 202.58 and 105.47

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Solution

The fourth proportional to 146.98, 202.58 and 105.47 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 202.58 = 105.47 : x
  2. Step 2: Convert to fraction form
    146.98/202.58 = 105.47/x
  3. Step 3: Cross multiply
    146.98x = 202.58 × 105.47
  4. Step 4: Simplify right side
    146.98x = 21,365.10
  5. Step 5: Solve for x
    x = 21,365.10/146.98
  6. Step 6: Final answer
    x = 145.37

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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.