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Finding the Fourth Proportional to 147.94, 204.10 and 96.22

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Solution

The fourth proportional to 147.94, 204.10 and 96.22 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 204.10 = 96.22 : x
  2. Step 2: Convert to fraction form
    147.94/204.10 = 96.22/x
  3. Step 3: Cross multiply
    147.94x = 204.10 × 96.22
  4. Step 4: Simplify right side
    147.94x = 19,638.50
  5. Step 5: Solve for x
    x = 19,638.50/147.94
  6. Step 6: Final answer
    x = 132.75

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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.