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Finding the Fourth Proportional to 50.64, 70.02 and 45.78

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Solution

The fourth proportional to 50.64, 70.02 and 45.78 is: 63.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.64 : 70.02 = 45.78 : x
  2. Step 2: Convert to fraction form
    50.64/70.02 = 45.78/x
  3. Step 3: Cross multiply
    50.64x = 70.02 × 45.78
  4. Step 4: Simplify right side
    50.64x = 3,205.52
  5. Step 5: Solve for x
    x = 3,205.52/50.64
  6. Step 6: Final answer
    x = 63.30

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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.