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Finding the Fourth Proportional to 107.55, 148.44 and 84.21

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Solution

The fourth proportional to 107.55, 148.44 and 84.21 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.55 : 148.44 = 84.21 : x
  2. Step 2: Convert to fraction form
    107.55/148.44 = 84.21/x
  3. Step 3: Cross multiply
    107.55x = 148.44 × 84.21
  4. Step 4: Simplify right side
    107.55x = 12,500.13
  5. Step 5: Solve for x
    x = 12,500.13/107.55
  6. Step 6: Final answer
    x = 116.23

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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.