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Finding the Fourth Proportional to 45.98, 68.98 and 23.14

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Solution

The fourth proportional to 45.98, 68.98 and 23.14 is: 34.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.98 : 68.98 = 23.14 : x
  2. Step 2: Convert to fraction form
    45.98/68.98 = 23.14/x
  3. Step 3: Cross multiply
    45.98x = 68.98 × 23.14
  4. Step 4: Simplify right side
    45.98x = 1,596.20
  5. Step 5: Solve for x
    x = 1,596.20/45.98
  6. Step 6: Final answer
    x = 34.72

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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.