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Finding the Fourth Proportional to 110.51, 165.86 and 56.42

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Solution

The fourth proportional to 110.51, 165.86 and 56.42 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.51 : 165.86 = 56.42 : x
  2. Step 2: Convert to fraction form
    110.51/165.86 = 56.42/x
  3. Step 3: Cross multiply
    110.51x = 165.86 × 56.42
  4. Step 4: Simplify right side
    110.51x = 9,357.54
  5. Step 5: Solve for x
    x = 9,357.54/110.51
  6. Step 6: Final answer
    x = 84.68

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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.