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Finding the Fourth Proportional to 106.78, 147.04 and 84.90

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Solution

The fourth proportional to 106.78, 147.04 and 84.90 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 147.04 = 84.90 : x
  2. Step 2: Convert to fraction form
    106.78/147.04 = 84.90/x
  3. Step 3: Cross multiply
    106.78x = 147.04 × 84.90
  4. Step 4: Simplify right side
    106.78x = 12,483.70
  5. Step 5: Solve for x
    x = 12,483.70/106.78
  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.