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Finding the Fourth Proportional to 106.60, 158.96 and 86.20

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Solution

The fourth proportional to 106.60, 158.96 and 86.20 is: 128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.60 : 158.96 = 86.20 : x
  2. Step 2: Convert to fraction form
    106.60/158.96 = 86.20/x
  3. Step 3: Cross multiply
    106.60x = 158.96 × 86.20
  4. Step 4: Simplify right side
    106.60x = 13,702.35
  5. Step 5: Solve for x
    x = 13,702.35/106.60
  6. Step 6: Final answer
    x = 128.54

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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.