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Finding the Fourth Proportional to 45.78, 69.08 and 43.22

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Solution

The fourth proportional to 45.78, 69.08 and 43.22 is: 65.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.78 : 69.08 = 43.22 : x
  2. Step 2: Convert to fraction form
    45.78/69.08 = 43.22/x
  3. Step 3: Cross multiply
    45.78x = 69.08 × 43.22
  4. Step 4: Simplify right side
    45.78x = 2,985.42
  5. Step 5: Solve for x
    x = 2,985.42/45.78
  6. Step 6: Final answer
    x = 65.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.