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Finding the Fourth Proportional to 150.71, 225.97 and 59.30

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Solution

The fourth proportional to 150.71, 225.97 and 59.30 is: 88.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.71 : 225.97 = 59.30 : x
  2. Step 2: Convert to fraction form
    150.71/225.97 = 59.30/x
  3. Step 3: Cross multiply
    150.71x = 225.97 × 59.30
  4. Step 4: Simplify right side
    150.71x = 13,398.59
  5. Step 5: Solve for x
    x = 13,398.59/150.71
  6. Step 6: Final answer
    x = 88.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.