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Finding the Fourth Proportional to 114.72, 172.14 and 84.24

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Solution

The fourth proportional to 114.72, 172.14 and 84.24 is: 126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 172.14 = 84.24 : x
  2. Step 2: Convert to fraction form
    114.72/172.14 = 84.24/x
  3. Step 3: Cross multiply
    114.72x = 172.14 × 84.24
  4. Step 4: Simplify right side
    114.72x = 14,501.07
  5. Step 5: Solve for x
    x = 14,501.07/114.72
  6. Step 6: Final answer
    x = 126.40

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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.