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Finding the Fourth Proportional to 76.93, 115.35 and 57.40

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Solution

The fourth proportional to 76.93, 115.35 and 57.40 is: 86.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 115.35 = 57.40 : x
  2. Step 2: Convert to fraction form
    76.93/115.35 = 57.40/x
  3. Step 3: Cross multiply
    76.93x = 115.35 × 57.40
  4. Step 4: Simplify right side
    76.93x = 6,621.09
  5. Step 5: Solve for x
    x = 6,621.09/76.93
  6. Step 6: Final answer
    x = 86.07

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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.