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Finding the Fourth Proportional to 105.68, 158.32 and 59.89

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Solution

The fourth proportional to 105.68, 158.32 and 59.89 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 158.32 = 59.89 : x
  2. Step 2: Convert to fraction form
    105.68/158.32 = 59.89/x
  3. Step 3: Cross multiply
    105.68x = 158.32 × 59.89
  4. Step 4: Simplify right side
    105.68x = 9,481.49
  5. Step 5: Solve for x
    x = 9,481.49/105.68
  6. Step 6: Final answer
    x = 89.72

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Why These Related Problems?

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