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Finding the Fourth Proportional to 146.77, 202.37 and 109.87

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Solution

The fourth proportional to 146.77, 202.37 and 109.87 is: 151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 202.37 = 109.87 : x
  2. Step 2: Convert to fraction form
    146.77/202.37 = 109.87/x
  3. Step 3: Cross multiply
    146.77x = 202.37 × 109.87
  4. Step 4: Simplify right side
    146.77x = 22,233.38
  5. Step 5: Solve for x
    x = 22,233.38/146.77
  6. Step 6: Final answer
    x = 151.48

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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.