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Finding the Fourth Proportional to 109.84, 164.61 and 93.53

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Solution

The fourth proportional to 109.84, 164.61 and 93.53 is: 140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 164.61 = 93.53 : x
  2. Step 2: Convert to fraction form
    109.84/164.61 = 93.53/x
  3. Step 3: Cross multiply
    109.84x = 164.61 × 93.53
  4. Step 4: Simplify right side
    109.84x = 15,395.97
  5. Step 5: Solve for x
    x = 15,395.97/109.84
  6. Step 6: Final answer
    x = 140.17

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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.