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Finding the Fourth Proportional to 75.76, 104.54 and 56.07

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Solution

The fourth proportional to 75.76, 104.54 and 56.07 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 104.54 = 56.07 : x
  2. Step 2: Convert to fraction form
    75.76/104.54 = 56.07/x
  3. Step 3: Cross multiply
    75.76x = 104.54 × 56.07
  4. Step 4: Simplify right side
    75.76x = 5,861.56
  5. Step 5: Solve for x
    x = 5,861.56/75.76
  6. Step 6: Final answer
    x = 77.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.