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Finding the Fourth Proportional to 46.38, 69.66 and 46.14

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Solution

The fourth proportional to 46.38, 69.66 and 46.14 is: 69.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.38 : 69.66 = 46.14 : x
  2. Step 2: Convert to fraction form
    46.38/69.66 = 46.14/x
  3. Step 3: Cross multiply
    46.38x = 69.66 × 46.14
  4. Step 4: Simplify right side
    46.38x = 3,214.11
  5. Step 5: Solve for x
    x = 3,214.11/46.38
  6. Step 6: Final answer
    x = 69.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.