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Finding the Fourth Proportional to 76.60, 114.73 and 56.25

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Solution

The fourth proportional to 76.60, 114.73 and 56.25 is: 84.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.60 : 114.73 = 56.25 : x
  2. Step 2: Convert to fraction form
    76.60/114.73 = 56.25/x
  3. Step 3: Cross multiply
    76.60x = 114.73 × 56.25
  4. Step 4: Simplify right side
    76.60x = 6,453.56
  5. Step 5: Solve for x
    x = 6,453.56/76.60
  6. Step 6: Final answer
    x = 84.25

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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.