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Finding the Fourth Proportional to 148.77, 205.17 and 107.20

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Solution

The fourth proportional to 148.77, 205.17 and 107.20 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 205.17 = 107.20 : x
  2. Step 2: Convert to fraction form
    148.77/205.17 = 107.20/x
  3. Step 3: Cross multiply
    148.77x = 205.17 × 107.20
  4. Step 4: Simplify right side
    148.77x = 21,994.08
  5. Step 5: Solve for x
    x = 21,994.08/148.77
  6. Step 6: Final answer
    x = 147.84

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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.