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Finding the Fourth Proportional to 106.50, 158.89 and 91.29

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Solution

The fourth proportional to 106.50, 158.89 and 91.29 is: 136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 158.89 = 91.29 : x
  2. Step 2: Convert to fraction form
    106.50/158.89 = 91.29/x
  3. Step 3: Cross multiply
    106.50x = 158.89 × 91.29
  4. Step 4: Simplify right side
    106.50x = 14,505.07
  5. Step 5: Solve for x
    x = 14,505.07/106.50
  6. Step 6: Final answer
    x = 136.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.