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Finding the Fourth Proportional to 165.74, 228.80 and 110.56

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Solution

The fourth proportional to 165.74, 228.80 and 110.56 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.74 : 228.80 = 110.56 : x
  2. Step 2: Convert to fraction form
    165.74/228.80 = 110.56/x
  3. Step 3: Cross multiply
    165.74x = 228.80 × 110.56
  4. Step 4: Simplify right side
    165.74x = 25,296.13
  5. Step 5: Solve for x
    x = 25,296.13/165.74
  6. Step 6: Final answer
    x = 152.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.