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Finding the Fourth Proportional to 116.60, 160.80 and 102.02

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Solution

The fourth proportional to 116.60, 160.80 and 102.02 is: 140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 160.80 = 102.02 : x
  2. Step 2: Convert to fraction form
    116.60/160.80 = 102.02/x
  3. Step 3: Cross multiply
    116.60x = 160.80 × 102.02
  4. Step 4: Simplify right side
    116.60x = 16,404.82
  5. Step 5: Solve for x
    x = 16,404.82/116.60
  6. Step 6: Final answer
    x = 140.69

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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.