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Finding the Fourth Proportional to 110.54, 165.78 and 42.05

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Solution

The fourth proportional to 110.54, 165.78 and 42.05 is: 63.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 165.78 = 42.05 : x
  2. Step 2: Convert to fraction form
    110.54/165.78 = 42.05/x
  3. Step 3: Cross multiply
    110.54x = 165.78 × 42.05
  4. Step 4: Simplify right side
    110.54x = 6,970.22
  5. Step 5: Solve for x
    x = 6,970.22/110.54
  6. Step 6: Final answer
    x = 63.06

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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.