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Finding the Fourth Proportional to 105.90, 158.56 and 87.80

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Solution

The fourth proportional to 105.90, 158.56 and 87.80 is: 131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 158.56 = 87.80 : x
  2. Step 2: Convert to fraction form
    105.90/158.56 = 87.80/x
  3. Step 3: Cross multiply
    105.90x = 158.56 × 87.80
  4. Step 4: Simplify right side
    105.90x = 13,921.57
  5. Step 5: Solve for x
    x = 13,921.57/105.90
  6. Step 6: Final answer
    x = 131.46

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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.