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Finding the Fourth Proportional to 129.21, 178.22 and 87.75

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Solution

The fourth proportional to 129.21, 178.22 and 87.75 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.21 : 178.22 = 87.75 : x
  2. Step 2: Convert to fraction form
    129.21/178.22 = 87.75/x
  3. Step 3: Cross multiply
    129.21x = 178.22 × 87.75
  4. Step 4: Simplify right side
    129.21x = 15,638.81
  5. Step 5: Solve for x
    x = 15,638.81/129.21
  6. Step 6: Final answer
    x = 121.03

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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.