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Finding the Fourth Proportional to 129.82, 178.88 and 114.10

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Solution

The fourth proportional to 129.82, 178.88 and 114.10 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.82 : 178.88 = 114.10 : x
  2. Step 2: Convert to fraction form
    129.82/178.88 = 114.10/x
  3. Step 3: Cross multiply
    129.82x = 178.88 × 114.10
  4. Step 4: Simplify right side
    129.82x = 20,410.21
  5. Step 5: Solve for x
    x = 20,410.21/129.82
  6. Step 6: Final answer
    x = 157.22

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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.