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Finding the Fourth Proportional to 150.04, 224.86 and 77.95

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Solution

The fourth proportional to 150.04, 224.86 and 77.95 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.04 : 224.86 = 77.95 : x
  2. Step 2: Convert to fraction form
    150.04/224.86 = 77.95/x
  3. Step 3: Cross multiply
    150.04x = 224.86 × 77.95
  4. Step 4: Simplify right side
    150.04x = 17,527.84
  5. Step 5: Solve for x
    x = 17,527.84/150.04
  6. Step 6: Final answer
    x = 116.82

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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.