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Finding the Fourth Proportional to 110.78, 165.28 and 101.06

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Solution

The fourth proportional to 110.78, 165.28 and 101.06 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 165.28 = 101.06 : x
  2. Step 2: Convert to fraction form
    110.78/165.28 = 101.06/x
  3. Step 3: Cross multiply
    110.78x = 165.28 × 101.06
  4. Step 4: Simplify right side
    110.78x = 16,703.20
  5. Step 5: Solve for x
    x = 16,703.20/110.78
  6. Step 6: Final answer
    x = 150.78

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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.