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Finding the Fourth Proportional to 76.50, 114.75 and 19.50

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Solution

The fourth proportional to 76.50, 114.75 and 19.50 is: 29.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 114.75 = 19.50 : x
  2. Step 2: Convert to fraction form
    76.50/114.75 = 19.50/x
  3. Step 3: Cross multiply
    76.50x = 114.75 × 19.50
  4. Step 4: Simplify right side
    76.50x = 2,237.63
  5. Step 5: Solve for x
    x = 2,237.63/76.50
  6. Step 6: Final answer
    x = 29.25

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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.