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Finding the Fourth Proportional to 150.10, 225.08 and 52.59

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Solution

The fourth proportional to 150.10, 225.08 and 52.59 is: 78.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 225.08 = 52.59 : x
  2. Step 2: Convert to fraction form
    150.10/225.08 = 52.59/x
  3. Step 3: Cross multiply
    150.10x = 225.08 × 52.59
  4. Step 4: Simplify right side
    150.10x = 11,836.15
  5. Step 5: Solve for x
    x = 11,836.15/150.10
  6. Step 6: Final answer
    x = 78.85

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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.