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Finding the Fourth Proportional to 76.56, 104.76 and 74.76

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Solution

The fourth proportional to 76.56, 104.76 and 74.76 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.56 : 104.76 = 74.76 : x
  2. Step 2: Convert to fraction form
    76.56/104.76 = 74.76/x
  3. Step 3: Cross multiply
    76.56x = 104.76 × 74.76
  4. Step 4: Simplify right side
    76.56x = 7,831.86
  5. Step 5: Solve for x
    x = 7,831.86/76.56
  6. Step 6: Final answer
    x = 102.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.