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Finding the Fourth Proportional to 114.82, 171.52 and 89.08

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Solution

The fourth proportional to 114.82, 171.52 and 89.08 is: 133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.82 : 171.52 = 89.08 : x
  2. Step 2: Convert to fraction form
    114.82/171.52 = 89.08/x
  3. Step 3: Cross multiply
    114.82x = 171.52 × 89.08
  4. Step 4: Simplify right side
    114.82x = 15,279.00
  5. Step 5: Solve for x
    x = 15,279.00/114.82
  6. Step 6: Final answer
    x = 133.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.