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Finding the Fourth Proportional to 116.56, 175.60 and 99.84

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Solution

The fourth proportional to 116.56, 175.60 and 99.84 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 175.60 = 99.84 : x
  2. Step 2: Convert to fraction form
    116.56/175.60 = 99.84/x
  3. Step 3: Cross multiply
    116.56x = 175.60 × 99.84
  4. Step 4: Simplify right side
    116.56x = 17,531.90
  5. Step 5: Solve for x
    x = 17,531.90/116.56
  6. Step 6: Final answer
    x = 150.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.