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Finding the Fourth Proportional to 76.10, 114.24 and 57.77

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Solution

The fourth proportional to 76.10, 114.24 and 57.77 is: 86.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 114.24 = 57.77 : x
  2. Step 2: Convert to fraction form
    76.10/114.24 = 57.77/x
  3. Step 3: Cross multiply
    76.10x = 114.24 × 57.77
  4. Step 4: Simplify right side
    76.10x = 6,600.04
  5. Step 5: Solve for x
    x = 6,600.04/76.10
  6. Step 6: Final answer
    x = 86.73

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Why These Related Problems?

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