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Finding the Fourth Proportional to 46.16, 68.94 and 38.46

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Solution

The fourth proportional to 46.16, 68.94 and 38.46 is: 57.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.16 : 68.94 = 38.46 : x
  2. Step 2: Convert to fraction form
    46.16/68.94 = 38.46/x
  3. Step 3: Cross multiply
    46.16x = 68.94 × 38.46
  4. Step 4: Simplify right side
    46.16x = 2,651.43
  5. Step 5: Solve for x
    x = 2,651.43/46.16
  6. Step 6: Final answer
    x = 57.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.