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Finding the Fourth Proportional to 147.87, 220.83 and 125.06

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Solution

The fourth proportional to 147.87, 220.83 and 125.06 is: 186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 220.83 = 125.06 : x
  2. Step 2: Convert to fraction form
    147.87/220.83 = 125.06/x
  3. Step 3: Cross multiply
    147.87x = 220.83 × 125.06
  4. Step 4: Simplify right side
    147.87x = 27,615.90
  5. Step 5: Solve for x
    x = 27,615.90/147.87
  6. Step 6: Final answer
    x = 186.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.