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Finding the Fourth Proportional to 115.27, 174.16 and 114.15

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Solution

The fourth proportional to 115.27, 174.16 and 114.15 is: 172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.27 : 174.16 = 114.15 : x
  2. Step 2: Convert to fraction form
    115.27/174.16 = 114.15/x
  3. Step 3: Cross multiply
    115.27x = 174.16 × 114.15
  4. Step 4: Simplify right side
    115.27x = 19,881.16
  5. Step 5: Solve for x
    x = 19,881.16/115.27
  6. Step 6: Final answer
    x = 172.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.