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Finding the Fourth Proportional to 131.84, 181.68 and 115.28

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Solution

The fourth proportional to 131.84, 181.68 and 115.28 is: 158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 181.68 = 115.28 : x
  2. Step 2: Convert to fraction form
    131.84/181.68 = 115.28/x
  3. Step 3: Cross multiply
    131.84x = 181.68 × 115.28
  4. Step 4: Simplify right side
    131.84x = 20,944.07
  5. Step 5: Solve for x
    x = 20,944.07/131.84
  6. Step 6: Final answer
    x = 158.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.