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Finding the Fourth Proportional to 146.88, 202.77 and 103.23

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Solution

The fourth proportional to 146.88, 202.77 and 103.23 is: 142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 202.77 = 103.23 : x
  2. Step 2: Convert to fraction form
    146.88/202.77 = 103.23/x
  3. Step 3: Cross multiply
    146.88x = 202.77 × 103.23
  4. Step 4: Simplify right side
    146.88x = 20,931.95
  5. Step 5: Solve for x
    x = 20,931.95/146.88
  6. Step 6: Final answer
    x = 142.51

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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.