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Finding the Fourth Proportional to 46.14, 69.54 and 43.53

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Solution

The fourth proportional to 46.14, 69.54 and 43.53 is: 65.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.14 : 69.54 = 43.53 : x
  2. Step 2: Convert to fraction form
    46.14/69.54 = 43.53/x
  3. Step 3: Cross multiply
    46.14x = 69.54 × 43.53
  4. Step 4: Simplify right side
    46.14x = 3,027.08
  5. Step 5: Solve for x
    x = 3,027.08/46.14
  6. Step 6: Final answer
    x = 65.61

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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.