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Finding the Fourth Proportional to 162.96, 243.99 and 114.84

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Solution

The fourth proportional to 162.96, 243.99 and 114.84 is: 171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 243.99 = 114.84 : x
  2. Step 2: Convert to fraction form
    162.96/243.99 = 114.84/x
  3. Step 3: Cross multiply
    162.96x = 243.99 × 114.84
  4. Step 4: Simplify right side
    162.96x = 28,019.81
  5. Step 5: Solve for x
    x = 28,019.81/162.96
  6. Step 6: Final answer
    x = 171.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.