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Finding the Fourth Proportional to 97.50, 134.52 and 67.60

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Solution

The fourth proportional to 97.50, 134.52 and 67.60 is: 93.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 134.52 = 67.60 : x
  2. Step 2: Convert to fraction form
    97.50/134.52 = 67.60/x
  3. Step 3: Cross multiply
    97.50x = 134.52 × 67.60
  4. Step 4: Simplify right side
    97.50x = 9,093.55
  5. Step 5: Solve for x
    x = 9,093.55/97.50
  6. Step 6: Final answer
    x = 93.27

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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.