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Finding the Fourth Proportional to 110.38, 165.75 and 86.53

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Solution

The fourth proportional to 110.38, 165.75 and 86.53 is: 129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 165.75 = 86.53 : x
  2. Step 2: Convert to fraction form
    110.38/165.75 = 86.53/x
  3. Step 3: Cross multiply
    110.38x = 165.75 × 86.53
  4. Step 4: Simplify right side
    110.38x = 14,342.35
  5. Step 5: Solve for x
    x = 14,342.35/110.38
  6. Step 6: Final answer
    x = 129.94

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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.