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Finding the Fourth Proportional to 110.30, 165.22 and 58.86

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Solution

The fourth proportional to 110.30, 165.22 and 58.86 is: 88.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.30 : 165.22 = 58.86 : x
  2. Step 2: Convert to fraction form
    110.30/165.22 = 58.86/x
  3. Step 3: Cross multiply
    110.30x = 165.22 × 58.86
  4. Step 4: Simplify right side
    110.30x = 9,724.85
  5. Step 5: Solve for x
    x = 9,724.85/110.30
  6. Step 6: Final answer
    x = 88.17

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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.