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Finding the Fourth Proportional to 148.68, 204.84 and 96.84

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Solution

The fourth proportional to 148.68, 204.84 and 96.84 is: 133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 204.84 = 96.84 : x
  2. Step 2: Convert to fraction form
    148.68/204.84 = 96.84/x
  3. Step 3: Cross multiply
    148.68x = 204.84 × 96.84
  4. Step 4: Simplify right side
    148.68x = 19,836.71
  5. Step 5: Solve for x
    x = 19,836.71/148.68
  6. Step 6: Final answer
    x = 133.42

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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.