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Finding the Fourth Proportional to 63.58, 94.97 and 46.32

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Solution

The fourth proportional to 63.58, 94.97 and 46.32 is: 69.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.58 : 94.97 = 46.32 : x
  2. Step 2: Convert to fraction form
    63.58/94.97 = 46.32/x
  3. Step 3: Cross multiply
    63.58x = 94.97 × 46.32
  4. Step 4: Simplify right side
    63.58x = 4,399.01
  5. Step 5: Solve for x
    x = 4,399.01/63.58
  6. Step 6: Final answer
    x = 69.19

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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.