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Finding the Fourth Proportional to 75.70, 113.63 and 34.64

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Solution

The fourth proportional to 75.70, 113.63 and 34.64 is: 51.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 113.63 = 34.64 : x
  2. Step 2: Convert to fraction form
    75.70/113.63 = 34.64/x
  3. Step 3: Cross multiply
    75.70x = 113.63 × 34.64
  4. Step 4: Simplify right side
    75.70x = 3,935.83
  5. Step 5: Solve for x
    x = 3,935.83/75.70
  6. Step 6: Final answer
    x = 51.99

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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.