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Finding the Fourth Proportional to 105.48, 158.02 and 86.13

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Solution

The fourth proportional to 105.48, 158.02 and 86.13 is: 129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 158.02 = 86.13 : x
  2. Step 2: Convert to fraction form
    105.48/158.02 = 86.13/x
  3. Step 3: Cross multiply
    105.48x = 158.02 × 86.13
  4. Step 4: Simplify right side
    105.48x = 13,610.05
  5. Step 5: Solve for x
    x = 13,610.05/105.48
  6. Step 6: Final answer
    x = 129.03

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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.