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Finding the Fourth Proportional to 148.50, 204.94 and 90.25

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Solution

The fourth proportional to 148.50, 204.94 and 90.25 is: 124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 204.94 = 90.25 : x
  2. Step 2: Convert to fraction form
    148.50/204.94 = 90.25/x
  3. Step 3: Cross multiply
    148.50x = 204.94 × 90.25
  4. Step 4: Simplify right side
    148.50x = 18,495.84
  5. Step 5: Solve for x
    x = 18,495.84/148.50
  6. Step 6: Final answer
    x = 124.55

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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.