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Finding the Fourth Proportional to 116.96, 162.70 and 114.73

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Solution

The fourth proportional to 116.96, 162.70 and 114.73 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.96 : 162.70 = 114.73 : x
  2. Step 2: Convert to fraction form
    116.96/162.70 = 114.73/x
  3. Step 3: Cross multiply
    116.96x = 162.70 × 114.73
  4. Step 4: Simplify right side
    116.96x = 18,666.63
  5. Step 5: Solve for x
    x = 18,666.63/116.96
  6. Step 6: Final answer
    x = 159.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.