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Finding the Fourth Proportional to 148.54, 204.96 and 89.53

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Solution

The fourth proportional to 148.54, 204.96 and 89.53 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.54 : 204.96 = 89.53 : x
  2. Step 2: Convert to fraction form
    148.54/204.96 = 89.53/x
  3. Step 3: Cross multiply
    148.54x = 204.96 × 89.53
  4. Step 4: Simplify right side
    148.54x = 18,350.07
  5. Step 5: Solve for x
    x = 18,350.07/148.54
  6. Step 6: Final answer
    x = 123.54

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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.