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Finding the Fourth Proportional to 107.30, 147.77 and 103.55

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Solution

The fourth proportional to 107.30, 147.77 and 103.55 is: 142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 147.77 = 103.55 : x
  2. Step 2: Convert to fraction form
    107.30/147.77 = 103.55/x
  3. Step 3: Cross multiply
    107.30x = 147.77 × 103.55
  4. Step 4: Simplify right side
    107.30x = 15,301.10
  5. Step 5: Solve for x
    x = 15,301.10/107.30
  6. Step 6: Final answer
    x = 142.61

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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.