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Finding the Fourth Proportional to 46.32, 69.19 and 36.07

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Solution

The fourth proportional to 46.32, 69.19 and 36.07 is: 53.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 69.19 = 36.07 : x
  2. Step 2: Convert to fraction form
    46.32/69.19 = 36.07/x
  3. Step 3: Cross multiply
    46.32x = 69.19 × 36.07
  4. Step 4: Simplify right side
    46.32x = 2,496.01
  5. Step 5: Solve for x
    x = 2,496.01/46.32
  6. Step 6: Final answer
    x = 53.88

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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.