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Finding the Fourth Proportional to 161.63, 242.63 and 97.64

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Solution

The fourth proportional to 161.63, 242.63 and 97.64 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 242.63 = 97.64 : x
  2. Step 2: Convert to fraction form
    161.63/242.63 = 97.64/x
  3. Step 3: Cross multiply
    161.63x = 242.63 × 97.64
  4. Step 4: Simplify right side
    161.63x = 23,690.39
  5. Step 5: Solve for x
    x = 23,690.39/161.63
  6. Step 6: Final answer
    x = 146.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.