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Finding the Fourth Proportional to 110.90, 153.09 and 101.06

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Solution

The fourth proportional to 110.90, 153.09 and 101.06 is: 139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 153.09 = 101.06 : x
  2. Step 2: Convert to fraction form
    110.90/153.09 = 101.06/x
  3. Step 3: Cross multiply
    110.90x = 153.09 × 101.06
  4. Step 4: Simplify right side
    110.90x = 15,471.28
  5. Step 5: Solve for x
    x = 15,471.28/110.90
  6. Step 6: Final answer
    x = 139.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.