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Finding the Fourth Proportional to 109.78, 164.81 and 101.95

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Solution

The fourth proportional to 109.78, 164.81 and 101.95 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.78 : 164.81 = 101.95 : x
  2. Step 2: Convert to fraction form
    109.78/164.81 = 101.95/x
  3. Step 3: Cross multiply
    109.78x = 164.81 × 101.95
  4. Step 4: Simplify right side
    109.78x = 16,802.38
  5. Step 5: Solve for x
    x = 16,802.38/109.78
  6. Step 6: Final answer
    x = 153.06

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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.