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Finding the Fourth Proportional to 106.02, 146.43 and 84.24

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Solution

The fourth proportional to 106.02, 146.43 and 84.24 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 146.43 = 84.24 : x
  2. Step 2: Convert to fraction form
    106.02/146.43 = 84.24/x
  3. Step 3: Cross multiply
    106.02x = 146.43 × 84.24
  4. Step 4: Simplify right side
    106.02x = 12,335.26
  5. Step 5: Solve for x
    x = 12,335.26/106.02
  6. Step 6: Final answer
    x = 116.35

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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.