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Finding the Fourth Proportional to 172.10, 257.70 and 114.16

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Solution

The fourth proportional to 172.10, 257.70 and 114.16 is: 170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 257.70 = 114.16 : x
  2. Step 2: Convert to fraction form
    172.10/257.70 = 114.16/x
  3. Step 3: Cross multiply
    172.10x = 257.70 × 114.16
  4. Step 4: Simplify right side
    172.10x = 29,419.03
  5. Step 5: Solve for x
    x = 29,419.03/172.10
  6. Step 6: Final answer
    x = 170.94

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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.