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Finding the Fourth Proportional to 150.07, 224.88 and 95.80

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Solution

The fourth proportional to 150.07, 224.88 and 95.80 is: 143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.07 : 224.88 = 95.80 : x
  2. Step 2: Convert to fraction form
    150.07/224.88 = 95.80/x
  3. Step 3: Cross multiply
    150.07x = 224.88 × 95.80
  4. Step 4: Simplify right side
    150.07x = 21,543.50
  5. Step 5: Solve for x
    x = 21,543.50/150.07
  6. Step 6: Final answer
    x = 143.56

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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.