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Finding the Fourth Proportional to 76.87, 114.62 and 75.93

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Solution

The fourth proportional to 76.87, 114.62 and 75.93 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.87 : 114.62 = 75.93 : x
  2. Step 2: Convert to fraction form
    76.87/114.62 = 75.93/x
  3. Step 3: Cross multiply
    76.87x = 114.62 × 75.93
  4. Step 4: Simplify right side
    76.87x = 8,703.10
  5. Step 5: Solve for x
    x = 8,703.10/76.87
  6. Step 6: Final answer
    x = 113.22

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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.