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Finding the Fourth Proportional to 45.44, 61.84 and 45.20

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Solution

The fourth proportional to 45.44, 61.84 and 45.20 is: 61.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.44 : 61.84 = 45.20 : x
  2. Step 2: Convert to fraction form
    45.44/61.84 = 45.20/x
  3. Step 3: Cross multiply
    45.44x = 61.84 × 45.20
  4. Step 4: Simplify right side
    45.44x = 2,795.17
  5. Step 5: Solve for x
    x = 2,795.17/45.44
  6. Step 6: Final answer
    x = 61.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.