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Finding the Fourth Proportional to 115.68, 158.49 and 114.16

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Solution

The fourth proportional to 115.68, 158.49 and 114.16 is: 156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.68 : 158.49 = 114.16 : x
  2. Step 2: Convert to fraction form
    115.68/158.49 = 114.16/x
  3. Step 3: Cross multiply
    115.68x = 158.49 × 114.16
  4. Step 4: Simplify right side
    115.68x = 18,093.22
  5. Step 5: Solve for x
    x = 18,093.22/115.68
  6. Step 6: Final answer
    x = 156.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.