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Finding the Fourth Proportional to 45.10, 62.14 and 30.52

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Solution

The fourth proportional to 45.10, 62.14 and 30.52 is: 42.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.10 : 62.14 = 30.52 : x
  2. Step 2: Convert to fraction form
    45.10/62.14 = 30.52/x
  3. Step 3: Cross multiply
    45.10x = 62.14 × 30.52
  4. Step 4: Simplify right side
    45.10x = 1,896.28
  5. Step 5: Solve for x
    x = 1,896.28/45.10
  6. Step 6: Final answer
    x = 42.05

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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.