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Finding the Fourth Proportional to 148.64, 205.14 and 111.74

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Solution

The fourth proportional to 148.64, 205.14 and 111.74 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 205.14 = 111.74 : x
  2. Step 2: Convert to fraction form
    148.64/205.14 = 111.74/x
  3. Step 3: Cross multiply
    148.64x = 205.14 × 111.74
  4. Step 4: Simplify right side
    148.64x = 22,921.32
  5. Step 5: Solve for x
    x = 22,921.32/148.64
  6. Step 6: Final answer
    x = 154.21

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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.