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Finding the Fourth Proportional to 116.64, 159.84 and 113.76

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Solution

The fourth proportional to 116.64, 159.84 and 113.76 is: 155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 159.84 = 113.76 : x
  2. Step 2: Convert to fraction form
    116.64/159.84 = 113.76/x
  3. Step 3: Cross multiply
    116.64x = 159.84 × 113.76
  4. Step 4: Simplify right side
    116.64x = 18,183.40
  5. Step 5: Solve for x
    x = 18,183.40/116.64
  6. Step 6: Final answer
    x = 155.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.