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Finding the Fourth Proportional to 107.52, 147.36 and 105.63

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Solution

The fourth proportional to 107.52, 147.36 and 105.63 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.52 : 147.36 = 105.63 : x
  2. Step 2: Convert to fraction form
    107.52/147.36 = 105.63/x
  3. Step 3: Cross multiply
    107.52x = 147.36 × 105.63
  4. Step 4: Simplify right side
    107.52x = 15,565.64
  5. Step 5: Solve for x
    x = 15,565.64/107.52
  6. Step 6: Final answer
    x = 144.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.