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Finding the Fourth Proportional to 147.76, 203.87 and 116.57

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Solution

The fourth proportional to 147.76, 203.87 and 116.57 is: 160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.76 : 203.87 = 116.57 : x
  2. Step 2: Convert to fraction form
    147.76/203.87 = 116.57/x
  3. Step 3: Cross multiply
    147.76x = 203.87 × 116.57
  4. Step 4: Simplify right side
    147.76x = 23,765.93
  5. Step 5: Solve for x
    x = 23,765.93/147.76
  6. Step 6: Final answer
    x = 160.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.