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Finding the Fourth Proportional to 116.74, 162.15 and 114.88

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Solution

The fourth proportional to 116.74, 162.15 and 114.88 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 162.15 = 114.88 : x
  2. Step 2: Convert to fraction form
    116.74/162.15 = 114.88/x
  3. Step 3: Cross multiply
    116.74x = 162.15 × 114.88
  4. Step 4: Simplify right side
    116.74x = 18,626.98
  5. Step 5: Solve for x
    x = 18,626.98/116.74
  6. Step 6: Final answer
    x = 159.57

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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.