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Finding the Fourth Proportional to 146.93, 202.78 and 84.77

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Solution

The fourth proportional to 146.93, 202.78 and 84.77 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.93 : 202.78 = 84.77 : x
  2. Step 2: Convert to fraction form
    146.93/202.78 = 84.77/x
  3. Step 3: Cross multiply
    146.93x = 202.78 × 84.77
  4. Step 4: Simplify right side
    146.93x = 17,188.73
  5. Step 5: Solve for x
    x = 17,188.73/146.93
  6. Step 6: Final answer
    x = 116.99

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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.