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Finding the Fourth Proportional to 46.42, 69.96 and 42.46

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Solution

The fourth proportional to 46.42, 69.96 and 42.46 is: 63.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 69.96 = 42.46 : x
  2. Step 2: Convert to fraction form
    46.42/69.96 = 42.46/x
  3. Step 3: Cross multiply
    46.42x = 69.96 × 42.46
  4. Step 4: Simplify right side
    46.42x = 2,970.50
  5. Step 5: Solve for x
    x = 2,970.50/46.42
  6. Step 6: Final answer
    x = 63.99

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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.