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Finding the Fourth Proportional to 100.43, 149.80 and 97.40

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Solution

The fourth proportional to 100.43, 149.80 and 97.40 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.43 : 149.80 = 97.40 : x
  2. Step 2: Convert to fraction form
    100.43/149.80 = 97.40/x
  3. Step 3: Cross multiply
    100.43x = 149.80 × 97.40
  4. Step 4: Simplify right side
    100.43x = 14,589.28
  5. Step 5: Solve for x
    x = 14,589.28/100.43
  6. Step 6: Final answer
    x = 145.27

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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.