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Finding the Fourth Proportional to 112.52, 155.14 and 98.84

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Solution

The fourth proportional to 112.52, 155.14 and 98.84 is: 136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.52 : 155.14 = 98.84 : x
  2. Step 2: Convert to fraction form
    112.52/155.14 = 98.84/x
  3. Step 3: Cross multiply
    112.52x = 155.14 × 98.84
  4. Step 4: Simplify right side
    112.52x = 15,334.04
  5. Step 5: Solve for x
    x = 15,334.04/112.52
  6. Step 6: Final answer
    x = 136.28

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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.