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Finding the Fourth Proportional to 71.69, 98.87 and 53.30

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Solution

The fourth proportional to 71.69, 98.87 and 53.30 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.69 : 98.87 = 53.30 : x
  2. Step 2: Convert to fraction form
    71.69/98.87 = 53.30/x
  3. Step 3: Cross multiply
    71.69x = 98.87 × 53.30
  4. Step 4: Simplify right side
    71.69x = 5,269.01
  5. Step 5: Solve for x
    x = 5,269.01/71.69
  6. Step 6: Final answer
    x = 73.50

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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.