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Finding the Fourth Proportional to 106.96, 147.45 and 85.14

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Solution

The fourth proportional to 106.96, 147.45 and 85.14 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.96 : 147.45 = 85.14 : x
  2. Step 2: Convert to fraction form
    106.96/147.45 = 85.14/x
  3. Step 3: Cross multiply
    106.96x = 147.45 × 85.14
  4. Step 4: Simplify right side
    106.96x = 12,553.16
  5. Step 5: Solve for x
    x = 12,553.16/106.96
  6. Step 6: Final answer
    x = 117.36

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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.