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Finding the Fourth Proportional to 161.31, 222.45 and 114.60

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Solution

The fourth proportional to 161.31, 222.45 and 114.60 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 222.45 = 114.60 : x
  2. Step 2: Convert to fraction form
    161.31/222.45 = 114.60/x
  3. Step 3: Cross multiply
    161.31x = 222.45 × 114.60
  4. Step 4: Simplify right side
    161.31x = 25,492.77
  5. Step 5: Solve for x
    x = 25,492.77/161.31
  6. Step 6: Final answer
    x = 158.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.