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Finding the Fourth Proportional to 146.65, 202.18 and 102.33

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Solution

The fourth proportional to 146.65, 202.18 and 102.33 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.65 : 202.18 = 102.33 : x
  2. Step 2: Convert to fraction form
    146.65/202.18 = 102.33/x
  3. Step 3: Cross multiply
    146.65x = 202.18 × 102.33
  4. Step 4: Simplify right side
    146.65x = 20,688.73
  5. Step 5: Solve for x
    x = 20,688.73/146.65
  6. Step 6: Final answer
    x = 141.07

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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.