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Finding the Fourth Proportional to 131.54, 181.44 and 84.86

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Solution

The fourth proportional to 131.54, 181.44 and 84.86 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 181.44 = 84.86 : x
  2. Step 2: Convert to fraction form
    131.54/181.44 = 84.86/x
  3. Step 3: Cross multiply
    131.54x = 181.44 × 84.86
  4. Step 4: Simplify right side
    131.54x = 15,397.00
  5. Step 5: Solve for x
    x = 15,397.00/131.54
  6. Step 6: Final answer
    x = 117.05

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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.