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Finding the Fourth Proportional to 75.74, 103.20 and 74.07

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Solution

The fourth proportional to 75.74, 103.20 and 74.07 is: 100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 103.20 = 74.07 : x
  2. Step 2: Convert to fraction form
    75.74/103.20 = 74.07/x
  3. Step 3: Cross multiply
    75.74x = 103.20 × 74.07
  4. Step 4: Simplify right side
    75.74x = 7,644.02
  5. Step 5: Solve for x
    x = 7,644.02/75.74
  6. Step 6: Final answer
    x = 100.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.