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Finding the Fourth Proportional to 150.84, 208.13 and 85.32

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Solution

The fourth proportional to 150.84, 208.13 and 85.32 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 208.13 = 85.32 : x
  2. Step 2: Convert to fraction form
    150.84/208.13 = 85.32/x
  3. Step 3: Cross multiply
    150.84x = 208.13 × 85.32
  4. Step 4: Simplify right side
    150.84x = 17,757.23
  5. Step 5: Solve for x
    x = 17,757.23/150.84
  6. Step 6: Final answer
    x = 117.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.