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Finding the Fourth Proportional to 110.57, 165.91 and 65.00

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Solution

The fourth proportional to 110.57, 165.91 and 65.00 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.57 : 165.91 = 65.00 : x
  2. Step 2: Convert to fraction form
    110.57/165.91 = 65.00/x
  3. Step 3: Cross multiply
    110.57x = 165.91 × 65.00
  4. Step 4: Simplify right side
    110.57x = 10,784.40
  5. Step 5: Solve for x
    x = 10,784.40/110.57
  6. Step 6: Final answer
    x = 97.54

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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.