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Finding the Fourth Proportional to 45.52, 67.88 and 42.48

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Solution

The fourth proportional to 45.52, 67.88 and 42.48 is: 63.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.52 : 67.88 = 42.48 : x
  2. Step 2: Convert to fraction form
    45.52/67.88 = 42.48/x
  3. Step 3: Cross multiply
    45.52x = 67.88 × 42.48
  4. Step 4: Simplify right side
    45.52x = 2,883.54
  5. Step 5: Solve for x
    x = 2,883.54/45.52
  6. Step 6: Final answer
    x = 63.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.