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Finding the Fourth Proportional to 110.50, 165.82 and 42.08

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Solution

The fourth proportional to 110.50, 165.82 and 42.08 is: 63.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.82 = 42.08 : x
  2. Step 2: Convert to fraction form
    110.50/165.82 = 42.08/x
  3. Step 3: Cross multiply
    110.50x = 165.82 × 42.08
  4. Step 4: Simplify right side
    110.50x = 6,977.71
  5. Step 5: Solve for x
    x = 6,977.71/110.50
  6. Step 6: Final answer
    x = 63.15

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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.