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Finding the Fourth Proportional to 105.76, 158.88 and 87.76

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Solution

The fourth proportional to 105.76, 158.88 and 87.76 is: 131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 158.88 = 87.76 : x
  2. Step 2: Convert to fraction form
    105.76/158.88 = 87.76/x
  3. Step 3: Cross multiply
    105.76x = 158.88 × 87.76
  4. Step 4: Simplify right side
    105.76x = 13,943.31
  5. Step 5: Solve for x
    x = 13,943.31/105.76
  6. Step 6: Final answer
    x = 131.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.