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Finding the Fourth Proportional to 102.49, 153 and 98.06

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Solution

The fourth proportional to 102.49, 153 and 98.06 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 153 = 98.06 : x
  2. Step 2: Convert to fraction form
    102.49/153 = 98.06/x
  3. Step 3: Cross multiply
    102.49x = 153 × 98.06
  4. Step 4: Simplify right side
    102.49x = 15,003.18
  5. Step 5: Solve for x
    x = 15,003.18/102.49
  6. Step 6: Final answer
    x = 146.39

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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.