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Finding the Fourth Proportional to 153.69, 212.08 and 88.15

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Solution

The fourth proportional to 153.69, 212.08 and 88.15 is: 121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 212.08 = 88.15 : x
  2. Step 2: Convert to fraction form
    153.69/212.08 = 88.15/x
  3. Step 3: Cross multiply
    153.69x = 212.08 × 88.15
  4. Step 4: Simplify right side
    153.69x = 18,694.85
  5. Step 5: Solve for x
    x = 18,694.85/153.69
  6. Step 6: Final answer
    x = 121.64

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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.