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Finding the Fourth Proportional to 153.72, 212.22 and 97.74

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Solution

The fourth proportional to 153.72, 212.22 and 97.74 is: 134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 212.22 = 97.74 : x
  2. Step 2: Convert to fraction form
    153.72/212.22 = 97.74/x
  3. Step 3: Cross multiply
    153.72x = 212.22 × 97.74
  4. Step 4: Simplify right side
    153.72x = 20,742.38
  5. Step 5: Solve for x
    x = 20,742.38/153.72
  6. Step 6: Final answer
    x = 134.94

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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.