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Finding the Fourth Proportional to 109.60, 165.06 and 96.89

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Solution

The fourth proportional to 109.60, 165.06 and 96.89 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.60 : 165.06 = 96.89 : x
  2. Step 2: Convert to fraction form
    109.60/165.06 = 96.89/x
  3. Step 3: Cross multiply
    109.60x = 165.06 × 96.89
  4. Step 4: Simplify right side
    109.60x = 15,991.84
  5. Step 5: Solve for x
    x = 15,991.84/109.60
  6. Step 6: Final answer
    x = 145.91

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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.