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Finding the Fourth Proportional to 75.64, 113.50 and 35.04

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Solution

The fourth proportional to 75.64, 113.50 and 35.04 is: 52.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 113.50 = 35.04 : x
  2. Step 2: Convert to fraction form
    75.64/113.50 = 35.04/x
  3. Step 3: Cross multiply
    75.64x = 113.50 × 35.04
  4. Step 4: Simplify right side
    75.64x = 3,977.04
  5. Step 5: Solve for x
    x = 3,977.04/75.64
  6. Step 6: Final answer
    x = 52.58

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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.