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Finding the Fourth Proportional to 106, 158.08 and 98.56

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Solution

The fourth proportional to 106, 158.08 and 98.56 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 158.08 = 98.56 : x
  2. Step 2: Convert to fraction form
    106/158.08 = 98.56/x
  3. Step 3: Cross multiply
    106x = 158.08 × 98.56
  4. Step 4: Simplify right side
    106x = 15,580.36
  5. Step 5: Solve for x
    x = 15,580.36/106
  6. Step 6: Final answer
    x = 146.98

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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.