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Finding the Fourth Proportional to 76.70, 115.02 and 65.36

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Solution

The fourth proportional to 76.70, 115.02 and 65.36 is: 98.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 115.02 = 65.36 : x
  2. Step 2: Convert to fraction form
    76.70/115.02 = 65.36/x
  3. Step 3: Cross multiply
    76.70x = 115.02 × 65.36
  4. Step 4: Simplify right side
    76.70x = 7,517.71
  5. Step 5: Solve for x
    x = 7,517.71/76.70
  6. Step 6: Final answer
    x = 98.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.