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Finding the Fourth Proportional to 76.40, 113.69 and 76.15

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Solution

The fourth proportional to 76.40, 113.69 and 76.15 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.40 : 113.69 = 76.15 : x
  2. Step 2: Convert to fraction form
    76.40/113.69 = 76.15/x
  3. Step 3: Cross multiply
    76.40x = 113.69 × 76.15
  4. Step 4: Simplify right side
    76.40x = 8,656.83
  5. Step 5: Solve for x
    x = 8,656.83/76.40
  6. Step 6: Final answer
    x = 113.31

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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.