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Finding the Fourth Proportional to 148.06, 204.34 and 85.96

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Solution

The fourth proportional to 148.06, 204.34 and 85.96 is: 118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 204.34 = 85.96 : x
  2. Step 2: Convert to fraction form
    148.06/204.34 = 85.96/x
  3. Step 3: Cross multiply
    148.06x = 204.34 × 85.96
  4. Step 4: Simplify right side
    148.06x = 17,565.27
  5. Step 5: Solve for x
    x = 17,565.27/148.06
  6. Step 6: Final answer
    x = 118.64

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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.