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Finding the Fourth Proportional to 131.58, 181.53 and 116.19

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Solution

The fourth proportional to 131.58, 181.53 and 116.19 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.58 : 181.53 = 116.19 : x
  2. Step 2: Convert to fraction form
    131.58/181.53 = 116.19/x
  3. Step 3: Cross multiply
    131.58x = 181.53 × 116.19
  4. Step 4: Simplify right side
    131.58x = 21,091.97
  5. Step 5: Solve for x
    x = 21,091.97/131.58
  6. Step 6: Final answer
    x = 160.30

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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.