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Finding the Fourth Proportional to 146.94, 202.77 and 97.77

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Solution

The fourth proportional to 146.94, 202.77 and 97.77 is: 134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 202.77 = 97.77 : x
  2. Step 2: Convert to fraction form
    146.94/202.77 = 97.77/x
  3. Step 3: Cross multiply
    146.94x = 202.77 × 97.77
  4. Step 4: Simplify right side
    146.94x = 19,824.82
  5. Step 5: Solve for x
    x = 19,824.82/146.94
  6. Step 6: Final answer
    x = 134.92

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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.