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Finding the Fourth Proportional to 100.24, 149.38 and 97.00

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Solution

The fourth proportional to 100.24, 149.38 and 97.00 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 149.38 = 97.00 : x
  2. Step 2: Convert to fraction form
    100.24/149.38 = 97.00/x
  3. Step 3: Cross multiply
    100.24x = 149.38 × 97.00
  4. Step 4: Simplify right side
    100.24x = 14,489.24
  5. Step 5: Solve for x
    x = 14,489.24/100.24
  6. Step 6: Final answer
    x = 144.55

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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.