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Finding the Fourth Proportional to 114.27, 156.82 and 114.27

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Solution

The fourth proportional to 114.27, 156.82 and 114.27 is: 156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.27 : 156.82 = 114.27 : x
  2. Step 2: Convert to fraction form
    114.27/156.82 = 114.27/x
  3. Step 3: Cross multiply
    114.27x = 156.82 × 114.27
  4. Step 4: Simplify right side
    114.27x = 17,919.82
  5. Step 5: Solve for x
    x = 17,919.82/114.27
  6. Step 6: Final answer
    x = 156.82

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