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Finding the Fourth Proportional to 153.92, 212.36 and 102.18

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Solution

The fourth proportional to 153.92, 212.36 and 102.18 is: 140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 212.36 = 102.18 : x
  2. Step 2: Convert to fraction form
    153.92/212.36 = 102.18/x
  3. Step 3: Cross multiply
    153.92x = 212.36 × 102.18
  4. Step 4: Simplify right side
    153.92x = 21,698.94
  5. Step 5: Solve for x
    x = 21,698.94/153.92
  6. Step 6: Final answer
    x = 140.98

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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.