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Finding the Fourth Proportional to 147.84, 203.97 and 85.66

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Solution

The fourth proportional to 147.84, 203.97 and 85.66 is: 118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 203.97 = 85.66 : x
  2. Step 2: Convert to fraction form
    147.84/203.97 = 85.66/x
  3. Step 3: Cross multiply
    147.84x = 203.97 × 85.66
  4. Step 4: Simplify right side
    147.84x = 17,472.07
  5. Step 5: Solve for x
    x = 17,472.07/147.84
  6. Step 6: Final answer
    x = 118.18

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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.