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Finding the Fourth Proportional to 146.86, 202.60 and 109.96

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Solution

The fourth proportional to 146.86, 202.60 and 109.96 is: 151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 202.60 = 109.96 : x
  2. Step 2: Convert to fraction form
    146.86/202.60 = 109.96/x
  3. Step 3: Cross multiply
    146.86x = 202.60 × 109.96
  4. Step 4: Simplify right side
    146.86x = 22,277.53
  5. Step 5: Solve for x
    x = 22,277.53/146.86
  6. Step 6: Final answer
    x = 151.69

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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.