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Finding the Fourth Proportional to 146.58, 202.09 and 113.77

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Solution

The fourth proportional to 146.58, 202.09 and 113.77 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 202.09 = 113.77 : x
  2. Step 2: Convert to fraction form
    146.58/202.09 = 113.77/x
  3. Step 3: Cross multiply
    146.58x = 202.09 × 113.77
  4. Step 4: Simplify right side
    146.58x = 22,991.78
  5. Step 5: Solve for x
    x = 22,991.78/146.58
  6. Step 6: Final answer
    x = 156.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.