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Finding the Fourth Proportional to 150.69, 225.84 and 59.27

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Solution

The fourth proportional to 150.69, 225.84 and 59.27 is: 88.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 225.84 = 59.27 : x
  2. Step 2: Convert to fraction form
    150.69/225.84 = 59.27/x
  3. Step 3: Cross multiply
    150.69x = 225.84 × 59.27
  4. Step 4: Simplify right side
    150.69x = 13,384.63
  5. Step 5: Solve for x
    x = 13,384.63/150.69
  6. Step 6: Final answer
    x = 88.82

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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.