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Finding the Fourth Proportional to 147.45, 203.11 and 114.64

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Solution

The fourth proportional to 147.45, 203.11 and 114.64 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.45 : 203.11 = 114.64 : x
  2. Step 2: Convert to fraction form
    147.45/203.11 = 114.64/x
  3. Step 3: Cross multiply
    147.45x = 203.11 × 114.64
  4. Step 4: Simplify right side
    147.45x = 23,284.53
  5. Step 5: Solve for x
    x = 23,284.53/147.45
  6. Step 6: Final answer
    x = 157.91

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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.