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Finding the Fourth Proportional to 46.05, 63.50 and 29.64

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Solution

The fourth proportional to 46.05, 63.50 and 29.64 is: 40.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.05 : 63.50 = 29.64 : x
  2. Step 2: Convert to fraction form
    46.05/63.50 = 29.64/x
  3. Step 3: Cross multiply
    46.05x = 63.50 × 29.64
  4. Step 4: Simplify right side
    46.05x = 1,882.14
  5. Step 5: Solve for x
    x = 1,882.14/46.05
  6. Step 6: Final answer
    x = 40.87

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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.