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Finding the Fourth Proportional to 74.91, 103.02 and 72.75

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Solution

The fourth proportional to 74.91, 103.02 and 72.75 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.91 : 103.02 = 72.75 : x
  2. Step 2: Convert to fraction form
    74.91/103.02 = 72.75/x
  3. Step 3: Cross multiply
    74.91x = 103.02 × 72.75
  4. Step 4: Simplify right side
    74.91x = 7,494.71
  5. Step 5: Solve for x
    x = 7,494.71/74.91
  6. Step 6: Final answer
    x = 100.05

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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.