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Finding the Fourth Proportional to 97.59, 134.64 and 60.69

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Solution

The fourth proportional to 97.59, 134.64 and 60.69 is: 83.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 134.64 = 60.69 : x
  2. Step 2: Convert to fraction form
    97.59/134.64 = 60.69/x
  3. Step 3: Cross multiply
    97.59x = 134.64 × 60.69
  4. Step 4: Simplify right side
    97.59x = 8,171.53
  5. Step 5: Solve for x
    x = 8,171.53/97.59
  6. Step 6: Final answer
    x = 83.73

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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.