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Finding the Fourth Proportional to 106.54, 146.96 and 84.76

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Solution

The fourth proportional to 106.54, 146.96 and 84.76 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 146.96 = 84.76 : x
  2. Step 2: Convert to fraction form
    106.54/146.96 = 84.76/x
  3. Step 3: Cross multiply
    106.54x = 146.96 × 84.76
  4. Step 4: Simplify right side
    106.54x = 12,455.91
  5. Step 5: Solve for x
    x = 12,455.91/106.54
  6. Step 6: Final answer
    x = 116.91

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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.