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Finding the Fourth Proportional to 148.71, 205.22 and 86.54

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Solution

The fourth proportional to 148.71, 205.22 and 86.54 is: 119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.71 : 205.22 = 86.54 : x
  2. Step 2: Convert to fraction form
    148.71/205.22 = 86.54/x
  3. Step 3: Cross multiply
    148.71x = 205.22 × 86.54
  4. Step 4: Simplify right side
    148.71x = 17,758.28
  5. Step 5: Solve for x
    x = 17,758.28/148.71
  6. Step 6: Final answer
    x = 119.42

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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.