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Finding the Fourth Proportional to 115.77, 159.83 and 83.06

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Solution

The fourth proportional to 115.77, 159.83 and 83.06 is: 114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.77 : 159.83 = 83.06 : x
  2. Step 2: Convert to fraction form
    115.77/159.83 = 83.06/x
  3. Step 3: Cross multiply
    115.77x = 159.83 × 83.06
  4. Step 4: Simplify right side
    115.77x = 13,274.89
  5. Step 5: Solve for x
    x = 13,274.89/115.77
  6. Step 6: Final answer
    x = 114.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.