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Finding the Fourth Proportional to 116.91, 160.04 and 116.64

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Solution

The fourth proportional to 116.91, 160.04 and 116.64 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.91 : 160.04 = 116.64 : x
  2. Step 2: Convert to fraction form
    116.91/160.04 = 116.64/x
  3. Step 3: Cross multiply
    116.91x = 160.04 × 116.64
  4. Step 4: Simplify right side
    116.91x = 18,667.36
  5. Step 5: Solve for x
    x = 18,667.36/116.91
  6. Step 6: Final answer
    x = 159.67

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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.