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Finding the Fourth Proportional to 109.95, 164.76 and 97.71

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Solution

The fourth proportional to 109.95, 164.76 and 97.71 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 164.76 = 97.71 : x
  2. Step 2: Convert to fraction form
    109.95/164.76 = 97.71/x
  3. Step 3: Cross multiply
    109.95x = 164.76 × 97.71
  4. Step 4: Simplify right side
    109.95x = 16,098.70
  5. Step 5: Solve for x
    x = 16,098.70/109.95
  6. Step 6: Final answer
    x = 146.42

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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.