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Finding the Fourth Proportional to 76.74, 106.02 and 74

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Solution

The fourth proportional to 76.74, 106.02 and 74 is: 102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.74 : 106.02 = 74 : x
  2. Step 2: Convert to fraction form
    76.74/106.02 = 74/x
  3. Step 3: Cross multiply
    76.74x = 106.02 × 74
  4. Step 4: Simplify right side
    76.74x = 7,845.48
  5. Step 5: Solve for x
    x = 7,845.48/76.74
  6. Step 6: Final answer
    x = 102.23

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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.