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Finding the Fourth Proportional to 107.10, 147.96 and 86.34

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Solution

The fourth proportional to 107.10, 147.96 and 86.34 is: 119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.10 : 147.96 = 86.34 : x
  2. Step 2: Convert to fraction form
    107.10/147.96 = 86.34/x
  3. Step 3: Cross multiply
    107.10x = 147.96 × 86.34
  4. Step 4: Simplify right side
    107.10x = 12,774.87
  5. Step 5: Solve for x
    x = 12,774.87/107.10
  6. Step 6: Final answer
    x = 119.28

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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.