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Finding the Fourth Proportional to 131.23, 181.03 and 102.07

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Solution

The fourth proportional to 131.23, 181.03 and 102.07 is: 140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.23 : 181.03 = 102.07 : x
  2. Step 2: Convert to fraction form
    131.23/181.03 = 102.07/x
  3. Step 3: Cross multiply
    131.23x = 181.03 × 102.07
  4. Step 4: Simplify right side
    131.23x = 18,477.73
  5. Step 5: Solve for x
    x = 18,477.73/131.23
  6. Step 6: Final answer
    x = 140.80

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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.