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Finding the Fourth Proportional to 46.95, 69.84 and 46.42

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Solution

The fourth proportional to 46.95, 69.84 and 46.42 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.95 : 69.84 = 46.42 : x
  2. Step 2: Convert to fraction form
    46.95/69.84 = 46.42/x
  3. Step 3: Cross multiply
    46.95x = 69.84 × 46.42
  4. Step 4: Simplify right side
    46.95x = 3,242.06
  5. Step 5: Solve for x
    x = 3,242.06/46.95
  6. Step 6: Final answer
    x = 69.05

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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.