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Finding the Fourth Proportional to 107.63, 148.50 and 84.27

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Solution

The fourth proportional to 107.63, 148.50 and 84.27 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.63 : 148.50 = 84.27 : x
  2. Step 2: Convert to fraction form
    107.63/148.50 = 84.27/x
  3. Step 3: Cross multiply
    107.63x = 148.50 × 84.27
  4. Step 4: Simplify right side
    107.63x = 12,514.10
  5. Step 5: Solve for x
    x = 12,514.10/107.63
  6. Step 6: Final answer
    x = 116.27

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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.