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Finding the Fourth Proportional to 113.28, 155.84 and 110.40

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Solution

The fourth proportional to 113.28, 155.84 and 110.40 is: 151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 155.84 = 110.40 : x
  2. Step 2: Convert to fraction form
    113.28/155.84 = 110.40/x
  3. Step 3: Cross multiply
    113.28x = 155.84 × 110.40
  4. Step 4: Simplify right side
    113.28x = 17,204.74
  5. Step 5: Solve for x
    x = 17,204.74/113.28
  6. Step 6: Final answer
    x = 151.88

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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.