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Finding the Fourth Proportional to 146.59, 202.15 and 105.34

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Solution

The fourth proportional to 146.59, 202.15 and 105.34 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.59 : 202.15 = 105.34 : x
  2. Step 2: Convert to fraction form
    146.59/202.15 = 105.34/x
  3. Step 3: Cross multiply
    146.59x = 202.15 × 105.34
  4. Step 4: Simplify right side
    146.59x = 21,293.95
  5. Step 5: Solve for x
    x = 21,293.95/146.59
  6. Step 6: Final answer
    x = 145.27

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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.