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Finding the Fourth Proportional to 110.77, 165.24 and 106.16

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Solution

The fourth proportional to 110.77, 165.24 and 106.16 is: 158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.77 : 165.24 = 106.16 : x
  2. Step 2: Convert to fraction form
    110.77/165.24 = 106.16/x
  3. Step 3: Cross multiply
    110.77x = 165.24 × 106.16
  4. Step 4: Simplify right side
    110.77x = 17,541.98
  5. Step 5: Solve for x
    x = 17,541.98/110.77
  6. Step 6: Final answer
    x = 158.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.