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Finding the Fourth Proportional to 109.76, 164.64 and 71.15

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Solution

The fourth proportional to 109.76, 164.64 and 71.15 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 164.64 = 71.15 : x
  2. Step 2: Convert to fraction form
    109.76/164.64 = 71.15/x
  3. Step 3: Cross multiply
    109.76x = 164.64 × 71.15
  4. Step 4: Simplify right side
    109.76x = 11,713.31
  5. Step 5: Solve for x
    x = 11,713.31/109.76
  6. Step 6: Final answer
    x = 106.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.