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Finding the Fourth Proportional to 110.40, 165.68 and 77.76

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Solution

The fourth proportional to 110.40, 165.68 and 77.76 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.40 : 165.68 = 77.76 : x
  2. Step 2: Convert to fraction form
    110.40/165.68 = 77.76/x
  3. Step 3: Cross multiply
    110.40x = 165.68 × 77.76
  4. Step 4: Simplify right side
    110.40x = 12,883.18
  5. Step 5: Solve for x
    x = 12,883.18/110.40
  6. Step 6: Final answer
    x = 116.70

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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.