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Finding the Fourth Proportional to 65.46, 97.79 and 60.69

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Solution

The fourth proportional to 65.46, 97.79 and 60.69 is: 90.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.46 : 97.79 = 60.69 : x
  2. Step 2: Convert to fraction form
    65.46/97.79 = 60.69/x
  3. Step 3: Cross multiply
    65.46x = 97.79 × 60.69
  4. Step 4: Simplify right side
    65.46x = 5,935.03
  5. Step 5: Solve for x
    x = 5,935.03/65.46
  6. Step 6: Final answer
    x = 90.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.