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Finding the Fourth Proportional to 146.67, 202.12 and 102.93

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Solution

The fourth proportional to 146.67, 202.12 and 102.93 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.67 : 202.12 = 102.93 : x
  2. Step 2: Convert to fraction form
    146.67/202.12 = 102.93/x
  3. Step 3: Cross multiply
    146.67x = 202.12 × 102.93
  4. Step 4: Simplify right side
    146.67x = 20,804.21
  5. Step 5: Solve for x
    x = 20,804.21/146.67
  6. Step 6: Final answer
    x = 141.84

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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.