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Finding the Fourth Proportional to 106.47, 146.81 and 84.30

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Solution

The fourth proportional to 106.47, 146.81 and 84.30 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 146.81 = 84.30 : x
  2. Step 2: Convert to fraction form
    106.47/146.81 = 84.30/x
  3. Step 3: Cross multiply
    106.47x = 146.81 × 84.30
  4. Step 4: Simplify right side
    106.47x = 12,374.93
  5. Step 5: Solve for x
    x = 12,374.93/106.47
  6. Step 6: Final answer
    x = 116.23

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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.