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Finding the Fourth Proportional to 107.23, 147.89 and 86.53

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Solution

The fourth proportional to 107.23, 147.89 and 86.53 is: 119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.23 : 147.89 = 86.53 : x
  2. Step 2: Convert to fraction form
    107.23/147.89 = 86.53/x
  3. Step 3: Cross multiply
    107.23x = 147.89 × 86.53
  4. Step 4: Simplify right side
    107.23x = 12,796.49
  5. Step 5: Solve for x
    x = 12,796.49/107.23
  6. Step 6: Final answer
    x = 119.34

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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.