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Finding the Fourth Proportional to 106.90, 147.43 and 86.17

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Solution

The fourth proportional to 106.90, 147.43 and 86.17 is: 118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 147.43 = 86.17 : x
  2. Step 2: Convert to fraction form
    106.90/147.43 = 86.17/x
  3. Step 3: Cross multiply
    106.90x = 147.43 × 86.17
  4. Step 4: Simplify right side
    106.90x = 12,702.88
  5. Step 5: Solve for x
    x = 12,702.88/106.90
  6. Step 6: Final answer
    x = 118.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.