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Finding the Fourth Proportional to 50.76, 76.14 and 42.75

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Solution

The fourth proportional to 50.76, 76.14 and 42.75 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 76.14 = 42.75 : x
  2. Step 2: Convert to fraction form
    50.76/76.14 = 42.75/x
  3. Step 3: Cross multiply
    50.76x = 76.14 × 42.75
  4. Step 4: Simplify right side
    50.76x = 3,254.99
  5. Step 5: Solve for x
    x = 3,254.99/50.76
  6. Step 6: Final answer
    x = 64.13

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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.