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Finding the Fourth Proportional to 109.76, 165.55 and 97.88

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Solution

The fourth proportional to 109.76, 165.55 and 97.88 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 165.55 = 97.88 : x
  2. Step 2: Convert to fraction form
    109.76/165.55 = 97.88/x
  3. Step 3: Cross multiply
    109.76x = 165.55 × 97.88
  4. Step 4: Simplify right side
    109.76x = 16,203.54
  5. Step 5: Solve for x
    x = 16,203.54/109.76
  6. Step 6: Final answer
    x = 147.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.