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Finding the Fourth Proportional to 110.54, 165.63 and 77.90

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Solution

The fourth proportional to 110.54, 165.63 and 77.90 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 165.63 = 77.90 : x
  2. Step 2: Convert to fraction form
    110.54/165.63 = 77.90/x
  3. Step 3: Cross multiply
    110.54x = 165.63 × 77.90
  4. Step 4: Simplify right side
    110.54x = 12,901.75
  5. Step 5: Solve for x
    x = 12,901.75/110.54
  6. Step 6: Final answer
    x = 116.72

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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.