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Finding the Fourth Proportional to 46.53, 69.80 and 14.03

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Solution

The fourth proportional to 46.53, 69.80 and 14.03 is: 21.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.53 : 69.80 = 14.03 : x
  2. Step 2: Convert to fraction form
    46.53/69.80 = 14.03/x
  3. Step 3: Cross multiply
    46.53x = 69.80 × 14.03
  4. Step 4: Simplify right side
    46.53x = 979.42
  5. Step 5: Solve for x
    x = 979.42/46.53
  6. Step 6: Final answer
    x = 21.05

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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.