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Finding the Fourth Proportional to 153.76, 212.19 and 83.82

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Solution

The fourth proportional to 153.76, 212.19 and 83.82 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 212.19 = 83.82 : x
  2. Step 2: Convert to fraction form
    153.76/212.19 = 83.82/x
  3. Step 3: Cross multiply
    153.76x = 212.19 × 83.82
  4. Step 4: Simplify right side
    153.76x = 17,785.77
  5. Step 5: Solve for x
    x = 17,785.77/153.76
  6. Step 6: Final answer
    x = 115.67

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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.