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Finding the Fourth Proportional to 147.84, 204.02 and 82.34

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Solution

The fourth proportional to 147.84, 204.02 and 82.34 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 204.02 = 82.34 : x
  2. Step 2: Convert to fraction form
    147.84/204.02 = 82.34/x
  3. Step 3: Cross multiply
    147.84x = 204.02 × 82.34
  4. Step 4: Simplify right side
    147.84x = 16,798.60
  5. Step 5: Solve for x
    x = 16,798.60/147.84
  6. Step 6: Final answer
    x = 113.63

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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.