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Finding the Fourth Proportional to 76.50, 114.69 and 47.57

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Solution

The fourth proportional to 76.50, 114.69 and 47.57 is: 71.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 114.69 = 47.57 : x
  2. Step 2: Convert to fraction form
    76.50/114.69 = 47.57/x
  3. Step 3: Cross multiply
    76.50x = 114.69 × 47.57
  4. Step 4: Simplify right side
    76.50x = 5,455.23
  5. Step 5: Solve for x
    x = 5,455.23/76.50
  6. Step 6: Final answer
    x = 71.31

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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.