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Finding the Fourth Proportional to 161.75, 242.55 and 70.44

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Solution

The fourth proportional to 161.75, 242.55 and 70.44 is: 105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.75 : 242.55 = 70.44 : x
  2. Step 2: Convert to fraction form
    161.75/242.55 = 70.44/x
  3. Step 3: Cross multiply
    161.75x = 242.55 × 70.44
  4. Step 4: Simplify right side
    161.75x = 17,085.22
  5. Step 5: Solve for x
    x = 17,085.22/161.75
  6. Step 6: Final answer
    x = 105.63

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