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Finding the Fourth Proportional to 114.09, 171.83 and 87.22

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Solution

The fourth proportional to 114.09, 171.83 and 87.22 is: 131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 171.83 = 87.22 : x
  2. Step 2: Convert to fraction form
    114.09/171.83 = 87.22/x
  3. Step 3: Cross multiply
    114.09x = 171.83 × 87.22
  4. Step 4: Simplify right side
    114.09x = 14,987.01
  5. Step 5: Solve for x
    x = 14,987.01/114.09
  6. Step 6: Final answer
    x = 131.36

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