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Finding the Fourth Proportional to 147.82, 204.01 and 85.65

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Solution

The fourth proportional to 147.82, 204.01 and 85.65 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 204.01 = 85.65 : x
  2. Step 2: Convert to fraction form
    147.82/204.01 = 85.65/x
  3. Step 3: Cross multiply
    147.82x = 204.01 × 85.65
  4. Step 4: Simplify right side
    147.82x = 17,473.24
  5. Step 5: Solve for x
    x = 17,473.24/147.82
  6. Step 6: Final answer
    x = 118.21

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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.