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Finding the Fourth Proportional to 46.10, 69.49 and 43.91

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Solution

The fourth proportional to 46.10, 69.49 and 43.91 is: 66.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 69.49 = 43.91 : x
  2. Step 2: Convert to fraction form
    46.10/69.49 = 43.91/x
  3. Step 3: Cross multiply
    46.10x = 69.49 × 43.91
  4. Step 4: Simplify right side
    46.10x = 3,051.37
  5. Step 5: Solve for x
    x = 3,051.37/46.10
  6. Step 6: Final answer
    x = 66.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.