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Finding the Fourth Proportional to 100.24, 150.24 and 71.30

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Solution

The fourth proportional to 100.24, 150.24 and 71.30 is: 106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 150.24 = 71.30 : x
  2. Step 2: Convert to fraction form
    100.24/150.24 = 71.30/x
  3. Step 3: Cross multiply
    100.24x = 150.24 × 71.30
  4. Step 4: Simplify right side
    100.24x = 10,712.11
  5. Step 5: Solve for x
    x = 10,712.11/100.24
  6. Step 6: Final answer
    x = 106.86

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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.