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Finding the Fourth Proportional to 153.64, 212.02 and 83.70

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Solution

The fourth proportional to 153.64, 212.02 and 83.70 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 212.02 = 83.70 : x
  2. Step 2: Convert to fraction form
    153.64/212.02 = 83.70/x
  3. Step 3: Cross multiply
    153.64x = 212.02 × 83.70
  4. Step 4: Simplify right side
    153.64x = 17,745.94
  5. Step 5: Solve for x
    x = 17,745.94/153.64
  6. Step 6: Final answer
    x = 115.50

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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.