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Finding the Fourth Proportional to 153.78, 212.21 and 87.38

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Solution

The fourth proportional to 153.78, 212.21 and 87.38 is: 120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.78 : 212.21 = 87.38 : x
  2. Step 2: Convert to fraction form
    153.78/212.21 = 87.38/x
  3. Step 3: Cross multiply
    153.78x = 212.21 × 87.38
  4. Step 4: Simplify right side
    153.78x = 18,542.91
  5. Step 5: Solve for x
    x = 18,542.91/153.78
  6. Step 6: Final answer
    x = 120.58

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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.