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Finding the Fourth Proportional to 150.25, 225.42 and 59.02

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Solution

The fourth proportional to 150.25, 225.42 and 59.02 is: 88.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.25 : 225.42 = 59.02 : x
  2. Step 2: Convert to fraction form
    150.25/225.42 = 59.02/x
  3. Step 3: Cross multiply
    150.25x = 225.42 × 59.02
  4. Step 4: Simplify right side
    150.25x = 13,303.01
  5. Step 5: Solve for x
    x = 13,303.01/150.25
  6. Step 6: Final answer
    x = 88.54

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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.