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Finding the Fourth Proportional to 131.59, 181.56 and 76.29

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Solution

The fourth proportional to 131.59, 181.56 and 76.29 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.59 : 181.56 = 76.29 : x
  2. Step 2: Convert to fraction form
    131.59/181.56 = 76.29/x
  3. Step 3: Cross multiply
    131.59x = 181.56 × 76.29
  4. Step 4: Simplify right side
    131.59x = 13,851.89
  5. Step 5: Solve for x
    x = 13,851.89/131.59
  6. Step 6: Final answer
    x = 105.27

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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.