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Finding the Fourth Proportional to 100.24, 150.42 and 97.00

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Solution

The fourth proportional to 100.24, 150.42 and 97.00 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 150.42 = 97.00 : x
  2. Step 2: Convert to fraction form
    100.24/150.42 = 97.00/x
  3. Step 3: Cross multiply
    100.24x = 150.42 × 97.00
  4. Step 4: Simplify right side
    100.24x = 14,590.73
  5. Step 5: Solve for x
    x = 14,590.73/100.24
  6. Step 6: Final answer
    x = 145.56

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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.