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Finding the Fourth Proportional to 46.05, 63.54 and 27.64

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Solution

The fourth proportional to 46.05, 63.54 and 27.64 is: 38.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.05 : 63.54 = 27.64 : x
  2. Step 2: Convert to fraction form
    46.05/63.54 = 27.64/x
  3. Step 3: Cross multiply
    46.05x = 63.54 × 27.64
  4. Step 4: Simplify right side
    46.05x = 1,756.00
  5. Step 5: Solve for x
    x = 1,756.00/46.05
  6. Step 6: Final answer
    x = 38.13

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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.