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Finding the Fourth Proportional to 75.64, 104.43 and 51.12

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Solution

The fourth proportional to 75.64, 104.43 and 51.12 is: 70.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 104.43 = 51.12 : x
  2. Step 2: Convert to fraction form
    75.64/104.43 = 51.12/x
  3. Step 3: Cross multiply
    75.64x = 104.43 × 51.12
  4. Step 4: Simplify right side
    75.64x = 5,338.46
  5. Step 5: Solve for x
    x = 5,338.46/75.64
  6. Step 6: Final answer
    x = 70.58

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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.