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Finding the Fourth Proportional to 148.74, 205.14 and 111.49

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Solution

The fourth proportional to 148.74, 205.14 and 111.49 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.74 : 205.14 = 111.49 : x
  2. Step 2: Convert to fraction form
    148.74/205.14 = 111.49/x
  3. Step 3: Cross multiply
    148.74x = 205.14 × 111.49
  4. Step 4: Simplify right side
    148.74x = 22,871.17
  5. Step 5: Solve for x
    x = 22,871.17/148.74
  6. Step 6: Final answer
    x = 153.76

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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.