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Finding the Fourth Proportional to 150.10, 224.84 and 85.84

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Solution

The fourth proportional to 150.10, 224.84 and 85.84 is: 128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 224.84 = 85.84 : x
  2. Step 2: Convert to fraction form
    150.10/224.84 = 85.84/x
  3. Step 3: Cross multiply
    150.10x = 224.84 × 85.84
  4. Step 4: Simplify right side
    150.10x = 19,300.27
  5. Step 5: Solve for x
    x = 19,300.27/150.10
  6. Step 6: Final answer
    x = 128.58

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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.