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Finding the Fourth Proportional to 46.53, 69.78 and 14.46

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Solution

The fourth proportional to 46.53, 69.78 and 14.46 is: 21.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 69.78 = 14.46 : x
  2. Step 2: Convert to fraction form
    46.53/69.78 = 14.46/x
  3. Step 3: Cross multiply
    46.53x = 69.78 × 14.46
  4. Step 4: Simplify right side
    46.53x = 1,009.02
  5. Step 5: Solve for x
    x = 1,009.02/46.53
  6. Step 6: Final answer
    x = 21.69

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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.