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Finding the Fourth Proportional to 131.88, 182.01 and 76.64

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Solution

The fourth proportional to 131.88, 182.01 and 76.64 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.88 : 182.01 = 76.64 : x
  2. Step 2: Convert to fraction form
    131.88/182.01 = 76.64/x
  3. Step 3: Cross multiply
    131.88x = 182.01 × 76.64
  4. Step 4: Simplify right side
    131.88x = 13,948.34
  5. Step 5: Solve for x
    x = 13,948.34/131.88
  6. Step 6: Final answer
    x = 105.77

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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.