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Finding the Fourth Proportional to 45.25, 68.24 and 42.64

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Solution

The fourth proportional to 45.25, 68.24 and 42.64 is: 64.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.25 : 68.24 = 42.64 : x
  2. Step 2: Convert to fraction form
    45.25/68.24 = 42.64/x
  3. Step 3: Cross multiply
    45.25x = 68.24 × 42.64
  4. Step 4: Simplify right side
    45.25x = 2,909.75
  5. Step 5: Solve for x
    x = 2,909.75/45.25
  6. Step 6: Final answer
    x = 64.30

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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.