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Finding the Fourth Proportional to 161.25, 242.01 and 65.07

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Solution

The fourth proportional to 161.25, 242.01 and 65.07 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.25 : 242.01 = 65.07 : x
  2. Step 2: Convert to fraction form
    161.25/242.01 = 65.07/x
  3. Step 3: Cross multiply
    161.25x = 242.01 × 65.07
  4. Step 4: Simplify right side
    161.25x = 15,747.59
  5. Step 5: Solve for x
    x = 15,747.59/161.25
  6. Step 6: Final answer
    x = 97.66

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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.