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Finding the Fourth Proportional to 106.36, 158.76 and 98.84

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Solution

The fourth proportional to 106.36, 158.76 and 98.84 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 158.76 = 98.84 : x
  2. Step 2: Convert to fraction form
    106.36/158.76 = 98.84/x
  3. Step 3: Cross multiply
    106.36x = 158.76 × 98.84
  4. Step 4: Simplify right side
    106.36x = 15,691.84
  5. Step 5: Solve for x
    x = 15,691.84/106.36
  6. Step 6: Final answer
    x = 147.54

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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.