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Finding the Fourth Proportional to 102.40, 153.75 and 98.86

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Solution

The fourth proportional to 102.40, 153.75 and 98.86 is: 148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 153.75 = 98.86 : x
  2. Step 2: Convert to fraction form
    102.40/153.75 = 98.86/x
  3. Step 3: Cross multiply
    102.40x = 153.75 × 98.86
  4. Step 4: Simplify right side
    102.40x = 15,198.96
  5. Step 5: Solve for x
    x = 15,198.96/102.40
  6. Step 6: Final answer
    x = 148.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.