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Finding the Fourth Proportional to 109.84, 164.07 and 93.64

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Solution

The fourth proportional to 109.84, 164.07 and 93.64 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 164.07 = 93.64 : x
  2. Step 2: Convert to fraction form
    109.84/164.07 = 93.64/x
  3. Step 3: Cross multiply
    109.84x = 164.07 × 93.64
  4. Step 4: Simplify right side
    109.84x = 15,363.51
  5. Step 5: Solve for x
    x = 15,363.51/109.84
  6. Step 6: Final answer
    x = 139.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.