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Finding the Fourth Proportional to 146.87, 202.77 and 114.06

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Solution

The fourth proportional to 146.87, 202.77 and 114.06 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.87 : 202.77 = 114.06 : x
  2. Step 2: Convert to fraction form
    146.87/202.77 = 114.06/x
  3. Step 3: Cross multiply
    146.87x = 202.77 × 114.06
  4. Step 4: Simplify right side
    146.87x = 23,127.95
  5. Step 5: Solve for x
    x = 23,127.95/146.87
  6. Step 6: Final answer
    x = 157.47

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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.