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Finding the Fourth Proportional to 45.78, 68.85 and 43.07

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Solution

The fourth proportional to 45.78, 68.85 and 43.07 is: 64.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.78 : 68.85 = 43.07 : x
  2. Step 2: Convert to fraction form
    45.78/68.85 = 43.07/x
  3. Step 3: Cross multiply
    45.78x = 68.85 × 43.07
  4. Step 4: Simplify right side
    45.78x = 2,965.03
  5. Step 5: Solve for x
    x = 2,965.03/45.78
  6. Step 6: Final answer
    x = 64.77

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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.