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Finding the Fourth Proportional to 45.05, 62.14 and 34.16

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Solution

The fourth proportional to 45.05, 62.14 and 34.16 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.05 : 62.14 = 34.16 : x
  2. Step 2: Convert to fraction form
    45.05/62.14 = 34.16/x
  3. Step 3: Cross multiply
    45.05x = 62.14 × 34.16
  4. Step 4: Simplify right side
    45.05x = 2,122.53
  5. Step 5: Solve for x
    x = 2,122.53/45.05
  6. Step 6: Final answer
    x = 47.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.