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Finding the Fourth Proportional to 75.29, 113.04 and 34.74

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Solution

The fourth proportional to 75.29, 113.04 and 34.74 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.29 : 113.04 = 34.74 : x
  2. Step 2: Convert to fraction form
    75.29/113.04 = 34.74/x
  3. Step 3: Cross multiply
    75.29x = 113.04 × 34.74
  4. Step 4: Simplify right side
    75.29x = 3,927.01
  5. Step 5: Solve for x
    x = 3,927.01/75.29
  6. Step 6: Final answer
    x = 52.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.