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Finding the Fourth Proportional to 107.76, 147.68 and 104.48

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Solution

The fourth proportional to 107.76, 147.68 and 104.48 is: 143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 147.68 = 104.48 : x
  2. Step 2: Convert to fraction form
    107.76/147.68 = 104.48/x
  3. Step 3: Cross multiply
    107.76x = 147.68 × 104.48
  4. Step 4: Simplify right side
    107.76x = 15,429.61
  5. Step 5: Solve for x
    x = 15,429.61/107.76
  6. Step 6: Final answer
    x = 143.18

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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.