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Finding the Fourth Proportional to 111.28, 153.04 and 101.84

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Solution

The fourth proportional to 111.28, 153.04 and 101.84 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.28 : 153.04 = 101.84 : x
  2. Step 2: Convert to fraction form
    111.28/153.04 = 101.84/x
  3. Step 3: Cross multiply
    111.28x = 153.04 × 101.84
  4. Step 4: Simplify right side
    111.28x = 15,585.59
  5. Step 5: Solve for x
    x = 15,585.59/111.28
  6. Step 6: Final answer
    x = 140.06

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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.