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Finding the Fourth Proportional to 109.76, 164.62 and 41.28

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Solution

The fourth proportional to 109.76, 164.62 and 41.28 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 164.62 = 41.28 : x
  2. Step 2: Convert to fraction form
    109.76/164.62 = 41.28/x
  3. Step 3: Cross multiply
    109.76x = 164.62 × 41.28
  4. Step 4: Simplify right side
    109.76x = 6,795.51
  5. Step 5: Solve for x
    x = 6,795.51/109.76
  6. Step 6: Final answer
    x = 61.91

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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.