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Finding the Fourth Proportional to 106.90, 160.27 and 84.08

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Solution

The fourth proportional to 106.90, 160.27 and 84.08 is: 126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.90 : 160.27 = 84.08 : x
  2. Step 2: Convert to fraction form
    106.90/160.27 = 84.08/x
  3. Step 3: Cross multiply
    106.90x = 160.27 × 84.08
  4. Step 4: Simplify right side
    106.90x = 13,475.50
  5. Step 5: Solve for x
    x = 13,475.50/106.90
  6. Step 6: Final answer
    x = 126.06

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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.