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Finding the Fourth Proportional to 148.54, 204.82 and 90.35

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Solution

The fourth proportional to 148.54, 204.82 and 90.35 is: 124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.54 : 204.82 = 90.35 : x
  2. Step 2: Convert to fraction form
    148.54/204.82 = 90.35/x
  3. Step 3: Cross multiply
    148.54x = 204.82 × 90.35
  4. Step 4: Simplify right side
    148.54x = 18,505.49
  5. Step 5: Solve for x
    x = 18,505.49/148.54
  6. Step 6: Final answer
    x = 124.58

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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.