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Finding the Fourth Proportional to 46.45, 69.57 and 45.53

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Solution

The fourth proportional to 46.45, 69.57 and 45.53 is: 68.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.45 : 69.57 = 45.53 : x
  2. Step 2: Convert to fraction form
    46.45/69.57 = 45.53/x
  3. Step 3: Cross multiply
    46.45x = 69.57 × 45.53
  4. Step 4: Simplify right side
    46.45x = 3,167.17
  5. Step 5: Solve for x
    x = 3,167.17/46.45
  6. Step 6: Final answer
    x = 68.19

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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.