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Finding the Fourth Proportional to 46.42, 64.05 and 28.94

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Solution

The fourth proportional to 46.42, 64.05 and 28.94 is: 39.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 64.05 = 28.94 : x
  2. Step 2: Convert to fraction form
    46.42/64.05 = 28.94/x
  3. Step 3: Cross multiply
    46.42x = 64.05 × 28.94
  4. Step 4: Simplify right side
    46.42x = 1,853.18
  5. Step 5: Solve for x
    x = 1,853.18/46.42
  6. Step 6: Final answer
    x = 39.92

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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.