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Finding the Fourth Proportional to 131.58, 181.37 and 110.82

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Solution

The fourth proportional to 131.58, 181.37 and 110.82 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.58 : 181.37 = 110.82 : x
  2. Step 2: Convert to fraction form
    131.58/181.37 = 110.82/x
  3. Step 3: Cross multiply
    131.58x = 181.37 × 110.82
  4. Step 4: Simplify right side
    131.58x = 20,099.70
  5. Step 5: Solve for x
    x = 20,099.70/131.58
  6. Step 6: Final answer
    x = 152.76

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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.