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Finding the Fourth Proportional to 71.64, 98.60 and 60.50

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Solution

The fourth proportional to 71.64, 98.60 and 60.50 is: 83.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 98.60 = 60.50 : x
  2. Step 2: Convert to fraction form
    71.64/98.60 = 60.50/x
  3. Step 3: Cross multiply
    71.64x = 98.60 × 60.50
  4. Step 4: Simplify right side
    71.64x = 5,965.30
  5. Step 5: Solve for x
    x = 5,965.30/71.64
  6. Step 6: Final answer
    x = 83.27

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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.