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Finding the Fourth Proportional to 76.98, 114.62 and 75.89

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Solution

The fourth proportional to 76.98, 114.62 and 75.89 is: 112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 114.62 = 75.89 : x
  2. Step 2: Convert to fraction form
    76.98/114.62 = 75.89/x
  3. Step 3: Cross multiply
    76.98x = 114.62 × 75.89
  4. Step 4: Simplify right side
    76.98x = 8,697.56
  5. Step 5: Solve for x
    x = 8,697.56/76.98
  6. Step 6: Final answer
    x = 112.98

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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.