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Finding the Fourth Proportional to 105.59, 158.16 and 59.81

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Solution

The fourth proportional to 105.59, 158.16 and 59.81 is: 89.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 158.16 = 59.81 : x
  2. Step 2: Convert to fraction form
    105.59/158.16 = 59.81/x
  3. Step 3: Cross multiply
    105.59x = 158.16 × 59.81
  4. Step 4: Simplify right side
    105.59x = 9,459.55
  5. Step 5: Solve for x
    x = 9,459.55/105.59
  6. Step 6: Final answer
    x = 89.59

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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.